"Cites" "Authors" "Title" "Year" "Source" "Publisher" "ArticleURL" "CitesURL" 900 "ED Sontag" "Mathematical control theory: deterministic finite dimensional systems" 1998 "books.google.com" "http://books.google.com/books?hl=en&lr=&id=ZFIp53GKSVMC&oi=fnd&pg=PR5&dq=e+sontag+-schnell,+-provenzale,+-fedoro,+-kelleher,+-robinso,+-romeo,+-losasso,+-aiello,+-kamibay,+-sheikh,+-levinton,+-vries&ots=JUKQtXx5Mv&sig=sw1nBk1orFlLrGFwcjMMq7JmQAE" "http://scholar.google.com/scholar?cites=12100380394205636684&hl=en&num=100" 805 "ED Sontag" "Smooth stabilization implies coprime factorization" 1989 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=28018" "http://scholar.google.com/scholar?cites=15895409300009399817&hl=en&num=100" 548 "ED Sontag" "On characterizations of the input-to-state stability property" 1995 "SystemsControl Letters" "eprints.kfupm.edu.sa" "http://eprints.kfupm.edu.sa/54093/" "http://scholar.google.com/scholar?cites=5554894648984294891&hl=en&num=100" 422 "ED Sontag" "A ""universal"" construction of Artstein's theorem on nonlinear stabilization." 1989 "Syst. Control Lett." "Citeseer" "http://scholar.google.com/scholar?cites=5913501182840562016&hl=en&num=100" 373 "E Sontag" "Nonlinear regulation: The piecewise linear approach" 1981 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1102596" "http://scholar.google.com/scholar?cites=15892376854457320179&hl=en&num=100" 373 "HT Siegelmann, ED Sontag" "On the computational power of neural nets" 1992 "Proceedings of the fifth annual workshop on ナ" "portal.acm.org" "http://portal.acm.org/citation.cfm?id=130385.130432" "http://scholar.google.com/scholar?cites=75627111289343124&hl=en&num=100" 329 "H Sussmann, E Sontag, Y Yang" "A general result on the stabilization of linear systems using bounded controls" 1993 "Decision and Control, 1993., Proceedings of the 32nd ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=325264" "http://scholar.google.com/scholar?cites=5812861928299377740&hl=en&num=100" 324 "Y Lin, ED Sontag, Y Wang" "A smooth converse Lyapunov theorem for robust stability" 1996 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=14030131998256384739&hl=en&num=100" 291 "FH Clarke, YS Ledyaev, ED Sontag, AI Subbotin" "Asymptotic controllability implies feedback stabilization" 1997 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=633828" "http://scholar.google.com/scholar?cites=15674214952573921542&hl=en&num=100" 258 "ED Sontag" "Comments on integral variants of ISS" 1998 "Systems and Control Letters" "eref.uqu.edu.sa" "http://scholar.google.com/scholar?cites=10337909819152545145&hl=en&num=100" 251 "ED Sontag, Y Wang" "New characterizations of input-to-state stability" 1996 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=536498" "http://scholar.google.com/scholar?cites=9924147550184844105&hl=en&num=100" 251 "D Angeli, JE Ferrell, ED Sontag" "Detection of multistability, bifurcations, and hysteresis in a large class of biological ナ" 2004 "Proceedings of the National Academy of Sciences" "National Acad Sciences" "http://www.pnas.org/cgi/content/abstract/101/7/1822" "http://scholar.google.com/scholar?cites=451838260874226441&hl=en&num=100" 240 "ED Sontag" "Lyapunov-like characterization of asymptotic controllability." 1983 "SIAM J. CONTR. OPTIMIZ." "saba.kntu.ac.ir" "http://scholar.google.com/scholar?cites=7691639227844012692&hl=en&num=100" 239 "HT Siegelmann, ED Sontag" "Analog computation via neural networks" 1994 "Theoretical Computer Science" "Citeseer" "http://scholar.google.com/scholar?cites=13349076274697989115&hl=en&num=100" 229 "JR Pomerening, ED Sontag, JE Ferrell" "Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2" 2003 "Nature Cell Biology" "stanford.edu" "http://scholar.google.com/scholar?cites=15692791276443411353&hl=en&num=100" 211 "A Fettweis, JL Massey, M Thoma, ED Sontag (editors)" "Stabilization of nonlinear uncertain systems" 1998 "Springer-Verlag New York, Inc. Secaucus, NJ, USA" "http://scholar.google.com/scholar?cites=14581984437535096094&hl=en&num=100" 189 "B. Kholodenko , A Kiyatkin, FJ Bruggeman, E Sontag, H. Westerhoff, J. Hoek" "Untangling the wires: a strategy to trace functional interactions in signaling and gene ナ" 2002 "Proceedings of the National Academy of Sciences" "National Acad Sciences" "http://www.pnas.org/cgi/content/abstract/99/20/12841" "http://scholar.google.com/scholar?cites=12527651627119672319&hl=en&num=100" 170 "D Angeli, ED Sontag, Y Wang" "A characterization of integral input-to-state stability" 2000 "IEEE Transactions on Automatic Control" "Citeseer" "http://scholar.google.com/scholar?cites=7632688025636271085&hl=en&num=100" 145 "ED Sontag" "Feedforward nets for interpolation and classification" 1992 "J. Comput. Syst. Sci." "Citeseer" "http://scholar.google.com/scholar?cites=7465045570479474232&hl=en&num=100" 144 "ED Sontag" "Further facts about input to state stabilization" 1990 "IEEE Transactions on Automatic Control" "Citeseer" "http://scholar.google.com/scholar?cites=13640336089000657199&hl=en&num=100" 144 "ED Sontag" "Feedback stabilization using two-hidden-layer nets" 1992 "IEEE Transactions on neural networks" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=165599" "http://scholar.google.com/scholar?cites=7550016561753056966&hl=en&num=100" 144 "Y Lin, ED Sontag" "A universal formula for stabilization with bounded controls" 1991 "Systems & Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=16561142000953377416&hl=en&num=100" 143 "ED Sontag" "Stability and stabilization: Discontinuities and the effect of disturbances" 1999 "Arxiv preprint math/9902026" "arxiv.org" "http://arxiv.org/abs/math.OC/9902026" "http://scholar.google.com/scholar?cites=752387363523171224&hl=en&num=100" 136 "ED Sontag" "Linear systems over commutative rings: A survey" 1976 "Ricerche di Automatica" "http://scholar.google.com/scholar?cites=5165462434006652723&hl=en&num=100" 133 "E Sontag, A Teel" "Changing supply functions in input/state stable systems" 1995 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=402246" "http://scholar.google.com/scholar?cites=18198186941689493812&hl=en&num=100" 128 "D Angeli, ED Sontag" "Monotone control systems" 2002 "Arxiv preprint math/0206133" "arxiv.org" "http://arxiv.org/abs/math.OC/0206133" "http://scholar.google.com/scholar?cites=2929362114240564063&hl=en&num=100" 127 "HT Siegelmann, ED Sontag" "Turing computability with neural nets." 1991 "Appl. Math. Lett." "Citeseer" "http://scholar.google.com/scholar?cites=8938193138902495125&hl=en&num=100" 124 "ED Sontag" "Remarks on stabilization and input-to-state stability" 1989 "Decision and Control, 1989., Proceedings of the 28th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=70365" "http://scholar.google.com/scholar?cites=11683759352029748158&hl=en&num=100" 123 "ED Sontag, HJ Sussmann" "Nonlinear output feedback design for linear systems with saturating controls" 1990 "Proc. 29th IEEE Conf. Decision and Control" "Citeseer" "http://scholar.google.com/scholar?cites=13142608610963966392&hl=en&num=100" 122 "ED Sontag, Y Wang" "Output-to-state stability and detectability of nonlinear systems" 1996 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=517541919790642756&hl=en&num=100" 121 "ED Sontag" "The ISS philosophy as a unifying framework for stability-like behavior" 2000 "Lecture Notes in Control and Information Sciences" "Springer" "http://www.springerlink.com/index/4g52375465u34171.pdf" "http://scholar.google.com/scholar?cites=2357978190305487990&hl=en&num=100" 114 "ED Sontag, Y Wang" "Notions of input to output stability" 1999 "Arxiv preprint math/9902025" "arxiv.org" "http://arxiv.org/abs/math/9902025" "http://scholar.google.com/scholar?cites=15817454218183817788&hl=en&num=100" 109 "ED Sontag" "Interconnected automata and linear systems: A theoretical framework in discrete time" 1996 "Lecture Notes in Computer Science" "Springer" "http://www.springerlink.com/index/d27744540561168l.pdf" "http://scholar.google.com/scholar?cites=7211393094529945259&hl=en&num=100" 109 "W Liu, Y Chitour, E Sontag" "Remarks on finite gain stabilizability of linear systems subject toinput saturation" 1993 "Decision and Control, 1993., Proceedings of the 32nd ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=325503" "http://scholar.google.com/scholar?cites=613258031590928304&hl=en&num=100" 106 "R Alur, TA Henzinger, ED Sontag" "Hybrid systems III(verification and control)" 0 "Lecture Notes in Computer Science" "cat.inist.fr" "http://cat.inist.fr/?aModele=afficheN&cpsidt=37831" "http://scholar.google.com/scholar?cites=16311622138016975896&hl=en&num=100" 105 "D Nesic, AR Teel, ED Sontag" "Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems" 1999 "Systems & control letters" "cat.inist.fr" "http://cat.inist.fr/?aModele=afficheN&cpsidt=1930671" "http://scholar.google.com/scholar?cites=3670348698054771021&hl=en&num=100" 99 "E Sontag, H Sussmann" "Remarks on continuous feedback" 1980 "Decision and Control including the Symposium on ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4046800" "http://scholar.google.com/scholar?cites=1275866145553842726&hl=en&num=100" 98 "T Riley, E Sontag, P Chen, A Levine" "Transcriptional control of human p53-regulated genes" 2008 "Nature Reviews Molecular Cell Biology" "nature.com" "http://www.nature.com/nrm/journal/v9/n5/abs/nrm2395.html" "http://scholar.google.com/scholar?cites=1175458942374141501&hl=en&num=100" 94 "ED Sontag" "Polynomial response maps" 1979 "Springer" "http://scholar.google.com/scholar?cites=5857830986233575931&hl=en&num=100" 92 "F Albertini, ED Sontag" "For neural networks, function determines form" 1992 "Decision and Control, 1992., Proceedings of the 31st ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=371799" "http://scholar.google.com/scholar?cites=6532307891641030625&hl=en&num=100" 89 "ED Sontag, HJ Sussmann" "Further comments on the stabilizability of the angular velocity of a rigid body." 1989 "Syst. Control Lett." "Citeseer" "http://scholar.google.com/scholar?cites=8073513483356900235&hl=en&num=100" 86 "E Sontag, A Kiyatkin, BN Kholodenko" "Inferring dynamic architecture of cellular networks using time series of gene expression" 2004 "Bioinformatics" "Oxford Univ Press" "http://scholar.google.com/scholar?cites=12910240293227613788&hl=en&num=100" 85 "A Macintyre, E Sontag" "Finiteness results for sigmoidal"" neural"" networks" 1993 "ANNUAL ACM SYMPOSIUM ON THEORY OF ナ" "Citeseer" "http://scholar.google.com/scholar?cites=1877183416036708315&hl=en&num=100" 85 "ED Sontag, Y Wang" "Lyapunov characterizations of input to output stability" 1999 "Arxiv preprint math/9902024" "arxiv.org" "http://arxiv.org/abs/math/9902024" "http://scholar.google.com/scholar?cites=13150555550038019169&hl=en&num=100" 84 "ED Sontagナ" "Feedback stabilization of nonlinear systems" 1990 "Robust control of linear systems and nonlinear control" "reference.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=13407590630169485444&hl=en&num=100" 84 "B Jakubczyk, ED Sontag" "Controllability of nonlinear discrete-time systems: A Lie-algebraic approach" 1990 "SIAM Journal on Control and Optimization" "link.aip.org" "http://link.aip.org/link/?SJCODC/28/1/1" "http://scholar.google.com/scholar?cites=6884554967793561131&hl=en&num=100" 82 "ED Sontag" "On the observability of polynomial systems, I: Finite-time problems" 1979 "SIAM J. Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=15320915093325641591&hl=en&num=100" 82 "ED Sontag" "A ""universal"" construction of Artstein's theorem on nonlinear stabilization." 1984 "International Journal of Control" "Citeseer" "http://scholar.google.com/scholar?cites=2206738243383052943&hl=en&num=100" 82 "P Koiran, ED Sontag" "Neural networks with quadratic VC dimension" 1997 "Journal of Computer and System Sciences" "Citeseer" "http://scholar.google.com/scholar?cites=13201986833945491055&hl=en&num=100" 79 "ナ Hespanha, D Liberzon, D Angeli, ED Sontag" "Nonlinear norm-observability notions and stability of switched systems" 2005 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1393133" "http://scholar.google.com/scholar?cites=1584780928121472527&hl=en&num=100" 77 "W Maass, G Schnitger, ED Sontag" "On the computational power of sigmoid versus boolean thresholdcircuits" 1991 "Foundations of Computer Science, 1991. Proceedings ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=185447" "http://scholar.google.com/scholar?cites=13644258651008066387&hl=en&num=100" 75 "ED Sontag" "Some new directions in control theory inspired by systems biology" 2004 "IEE Proceedings Systems Biology" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1334984" "http://scholar.google.com/scholar?cites=1485499989718514912&hl=en&num=100" 75 "ED Sontag" "Input to state stability: Basic concepts and results" 2008 "LECTURE NOTES IN MATHEMATICS-SPRINGER- ナ" "Springer" "http://www.springerlink.com/index/g1w51262087577w8.pdf" "http://scholar.google.com/scholar?cites=14580157991750833391&hl=en&num=100" 74 "M Krichman, ED Sontag, Y Wang" "Input-output-to-state stability" 1999 "Arxiv preprint math/9911233" "arxiv.org" "http://arxiv.org/abs/math.OC/9911233" "http://scholar.google.com/scholar?cites=5557570746741893902&hl=en&num=100" 72 "YS Ledyaev, ED Sontag" "A Lyapunov characterization of robust stabilization" 1999 "Nonlinear Analysis" "Citeseer" "http://scholar.google.com/scholar?cites=15830545388981852830&hl=en&num=100" 70 "E Sontag" "Realization theory of discrete-time nonlinear systems: Part I-The bounded case" 1979 "IEEE Transactions on Circuits and Systems" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1084646" "http://scholar.google.com/scholar?cites=9007401914300683752&hl=en&num=100" 68 "ED Sontag, HJ Sussmann" "Nonsmooth control Lyapunov functions" 1995 "Proc. IEEE Conf. Decision and Control, New Orleans" "Citeseer" "http://scholar.google.com/scholar?cites=13398987692830736285&hl=en&num=100" 67 "D Angeli, ED Sontag" "Multi-stability in monotone input/output systems" 2004 "Systems & Control Letters" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0167691103002317" "http://scholar.google.com/scholar?cites=9766776931379988275&hl=en&num=100" 64 "ED Sontag" "Structure and stability of certain chemical networks andapplications to the kinetic ナ" 2001 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=935056" "http://scholar.google.com/scholar?cites=12925721738604838457&hl=en&num=100" 64 "ED Sontag, HJ Sussmann" "Backpropagation can give rise to spurious local minima even for networks without hidden ナ" 1989 "Complex Systems" "Citeseer" "http://scholar.google.com/scholar?cites=1415963704535650151&hl=en&num=100" 62 "ED Sontag" "Molecular systems biology and control" 2005 "European journal of control" "cat.inist.fr" "http://cat.inist.fr/?aModele=afficheN&cpsidt=17400288" "http://scholar.google.com/scholar?cites=5817812363887827&hl=en&num=100" 61 "ED Sontag, HJ Sussmann" "Backpropagation separates when perceptrons do" 1989 "Neural Networks, 1989. IJCNN., International Joint ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=118644" "http://scholar.google.com/scholar?cites=11007051395553340815&hl=en&num=100" 61 "M Arcak, D Angeli, E Sontag" "A unifying integral framework for stability of nonlinear cascades" 2002 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=1130727423081468061&hl=en&num=100" 59 "ED Sontag" "Neural nets are universal computing devices" 1993 "PROGRESS IN SYSTEMS AND CONTROL THEORY" "Citeseer" "http://scholar.google.com/scholar?cites=94159289878566502&hl=en&num=100" 58 "ED Sontag" "Control of systems without drift via generic loops" 1995 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=400490" "http://scholar.google.com/scholar?cites=4512959158579592529&hl=en&num=100" 56 "ED Sontag" "Clocks and insensitivity to small measurement errors" 1999 "ESAIM Control Optim. Calc. Var" "publications.edpsciences.org" "http://publications.edpsciences.org/articles/cocv/pdf/1999/01/cocvVol4-21.pdf" "http://scholar.google.com/scholar?cites=8241864789521611864&hl=en&num=100" 56 "W Maass, ED Sontag" "Analog neural nets with Gaussian or other common noise distributions cannot recognize " 1999 "Neural Computation" "MIT Press" "http://www.mitpressjournals.org/doi/abs/10.1162/089976699300016656" "http://scholar.google.com/scholar?cites=3603404140125900699&hl=en&num=100" 52 "L Grune, ED Sontag, FR Wirth" "Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes" 1998 "Arxiv preprint math/9812137" "arxiv.org" "http://arxiv.org/abs/math/9812137" "http://scholar.google.com/scholar?cites=4662106117063296922&hl=en&num=100" 50 "ED Sontag" "Neural nets as systems models and controllers" 1992 "Proc. Seventh Yale Workshop on Adaptive and ナ" "Citeseer" "http://scholar.google.com/scholar?cites=13712329358969478922&hl=en&num=100" 50 "Y Lin, ED Sontag" "Changing supply functions in input/state stable systems" 1995 "To appear in ControlラTheory and Advanced ナ" "Citeseer" "http://scholar.google.com/scholar?cites=11567622528252025310&hl=en&num=100" 50 "R Alur, TA Henzinger, ED Sontag" "Hybrid Systems III, volume 1066 of Lecture Notes in Computer Science" 1996 "Springer-Verlag" "http://scholar.google.com/scholar?cites=4529057698781445975&hl=en&num=100" 48 "ED Sontag" "Remarks on piecewise-linear algebra" 1982 "Pacific J. Math" "projecteuclid.org" "http://www.projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.pjm/1102734396&view=body&content-type=pdf_1" "http://scholar.google.com/scholar?cites=6202046556665014281&hl=en&num=100" 48 "C Darken, M Donahue, L Gurvits, E Sontag" "Rate of approximation results motivated by robust neural network learning" 1993 "Proceedings of the sixth annual conference on ナ" "portal.acm.org" "http://portal.acm.org/citation.cfm?id=168357" "http://scholar.google.com/scholar?cites=7060919272678779970&hl=en&num=100" 45 "D Liberzon, ED Sontag, Y Wang" "Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation" 2002 "Systems & Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=11694946305480225366&hl=en&num=100" 44 "M Chaves, ED Sontag, R Albert" "Methods of robustness analysis for Boolean models of gene control networks" 2006 "Arxiv preprint q-bio.MN/0605004" "arxiv.org" "http://arxiv.org/abs/q-bio/0605004" "http://scholar.google.com/scholar?cites=10090594349381070814&hl=en&num=100" 43 "D Liberzon, AS Morse, ED Sontag" "Output-input stability and minimum-phase nonlinear systems" 2000 "Arxiv preprint math.OC/0006133" "arxiv.org" "http://arxiv.org/abs/math/0006133" "http://scholar.google.com/scholar?cites=4743943575964553288&hl=en&num=100" 41 "B DasGupta, HT Siegelmann, E Sontag" "On the complexity of training neural networks with continuousactivation functions" 1995 "IEEE Transactions on Neural Networks" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=471360" "http://scholar.google.com/scholar?cites=3131087697934397334&hl=en&num=100" 41 "F Albertini, ED Sontag, V Maillot" "Uniqueness of weights for neural networks" 1993 "in Artificial Neural Networks with Applications in ナ" "eprints.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=5418284434483068713&hl=en&num=100" 40 "P Koiran, ED Sontag" "Vapnik-Chervonenkis dimension of recurrent neural networks" 1997 "Lecture Notes in Computer Science" "Springer" "http://www.springerlink.com/index/g23140x87r1277hx.pdf" "http://scholar.google.com/scholar?cites=10468640444955118506&hl=en&num=100" 40 "PP Khargonekar, ED Sontag" "On the relation between stable matrix fraction factorizations and regulable realizations of ナ" 0 "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4047092" "http://scholar.google.com/scholar?cites=10904987585928380326&hl=en&num=100" 40 "ED Sontag, B Ingalls" "A small-gain theorem with applications to input/output systems, incremental stability, ナ" 2002 "Journal of the Franklin Institute" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0016003202000224" "http://scholar.google.com/scholar?cites=4337653652227270050&hl=en&num=100" 39 "ED Sontag" "VC dimension of neural networks" 1998 "NATO ASI SERIES F COMPUTER AND SYSTEMS ナ" "Citeseer" "http://scholar.google.com/scholar?cites=522875761131853303&hl=en&num=100" 38 "F Albertini, ED Sontag" "Continuous control-Lyapunov functions for asymptotically controllable time-varying systems" 1999 "International Journal of Control" "Taylor & Francis" "http://scholar.google.com/scholar?cites=5429454282924107784&hl=en&num=100" 38 "ナ , B Jakubczyk, HG Lee, SI Marcus, ED Sontag" "The effect of sampling on linear equivalence and feedback linearization." 1989 "Syst. Control Lett." "csa.com" "http://www.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=2177774CI" "http://scholar.google.com/scholar?cites=106833217729238053&hl=en&num=100" 37 "W Dicks, ED Sontag" "Sylvester domains" 1978 "J. Pure Appl. Algebra" "http://scholar.google.com/scholar?cites=15739517675206011144&hl=en&num=100" 37 "MJ Donahue, L Gurvits, C Darken, E Sontag" "Rates of convex approximation in non-Hilbert spaces" 1997 "Constructive Approximation" "Springer" "http://www.springerlink.com/index/C3LJMPTB83W47BDC.pdf" "http://scholar.google.com/scholar?cites=8898706266927190112&hl=en&num=100" 36 "ED Sontag, HJ Sussmann" "Time-optimal control of manipulators" 1986 "Proc. IEEE Int. Conf. on Robotics and Automation" "math.hawaii.edu" "http://scholar.google.com/scholar?cites=7805818614055228283&hl=en&num=100" 36 "R Alur, TA Henzinger, ED Sontag" "Hybrid Systems III: Verification and Control. LNCS 1066" 1996 "Springer-Verlag" "http://scholar.google.com/scholar?cites=12241388264834792616&hl=en&num=100" 35 "D Angeli, E Sontag" "Interconnections of monotone systems with steady-state characteristics" 2004 "LECTURE NOTES IN CONTROL AND INFORMATION ナ" "Springer" "http://www.springerlink.com/index/fq9vdpyt7121u58l.pdf" "http://scholar.google.com/scholar?cites=10901206009171393396&hl=en&num=100" 33 "ED Sontag" "Real addition and the polynomial hierarchy" 1985 "Information Processing Letters" "Citeseer" "http://scholar.google.com/scholar?cites=804649704054915329&hl=en&num=100" 33 "B Dasgupta, ED Sontag" "Sample complexity for learning recurrent perceptron mappings" 1996 "IEEE Transactions on Information Theory" "Citeseer" "http://scholar.google.com/scholar?cites=13525319585919067566&hl=en&num=100" 33 "Y Lin, E Sontag, Y Wang" "Recent results on Lyapunov-theoretic techniques for nonlinear stability" 1994 "American Control Conference" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=752377" "http://scholar.google.com/scholar?cites=579274012226354938&hl=en&num=100" 32 "ED Sontag" "Adaptation and regulation with signal detection implies internal model" 2003 "Arxiv preprint q-bio/0309003" "arxiv.org" "http://arxiv.org/abs/q-bio.QM/0309003" "http://scholar.google.com/scholar?cites=16272823773255112797&hl=en&num=100" 32 "ED Sontag" "Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to ナ" 2001 "Arxiv preprint math.OC/0112232" "arxiv.org" "http://arxiv.org/abs/math/0112232" "http://scholar.google.com/scholar?cites=1131891586683109550&hl=en&num=100" 32 "W Maass, ED Sontag" "Neural systems as nonlinear filters" 2000 "Neural Computation" "MIT Press" "http://www.mitpressjournals.org/doi/abs/10.1162/089976600300015123" "http://scholar.google.com/scholar?cites=3473093199154305529&hl=en&num=100" 32 "ナ Andrec, BN Kholodenko, RM Levy, E Sontag" "Inference of signaling and gene regulatory networks by steady-state perturbation ナ" 2005 "Journal of theoretical biology" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0022519304004047" "http://scholar.google.com/scholar?cites=5523610427319467840&hl=en&num=100" 30 "ED Sontag" "Finite-dimensional open-loop control generators for non-linear systems" 1988 "International Journal of Control" "Taylor & Francis" "http://scholar.google.com/scholar?cites=17586881822183080972&hl=en&num=100" 30 "E Sontag" "A remark on robust stabilization of general asymptotically controllable systems" 1997 "John Hopkins University" "Citeseer" "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.5723" "http://scholar.google.com/scholar?cites=16789668653449897173&hl=en&num=100" 29 "E Sontag" "From linear to nonlinear: some complexity comparisons" 1995 "Decision and Control, 1995., Proceedings of the 34th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=478585" "http://scholar.google.com/scholar?cites=18368733388275213557&hl=en&num=100" 29 "B DasGupta, GA Enciso, E Sontag, Y Zhang" "Algorithmic and complexity results for decompositions of biological networks into monotone ナ" 2007 "Biosystems" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0303264706001419" "http://scholar.google.com/scholar?cites=73694631196384998&hl=en&num=100" 29 "R Bumby, ED Sontag, H Sussmann, W ナ" "Remarks on the pole-shifting problem over rings" 1981 "J. Pure Appl. Algebra" "http://scholar.google.com/scholar?cites=10081826082490119999&hl=en&num=100" 28 "ED Sontag" "Controllability is harder to decide than accessibility" 1988 "SIAM Journal on Control and Optimization" "link.aip.org" "http://link.aip.org/link/?SJCODC/26/1106/1" "http://scholar.google.com/scholar?cites=229201531286901212&hl=en&num=100" 28 "ED Sontag" "Universal nonsingular controls" 1992 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=5480419412004998109&hl=en&num=100" 28 "F Albertini, ED Sontag" "Discrete-time transitivity and accessibility: analytic systems" 1993 "SIAM J. Control and Optimization" "eprints.kfupm.edu.sa" "http://eprints.kfupm.edu.sa/35283/" "http://scholar.google.com/scholar?cites=10784608949576037465&hl=en&num=100" 28 "G Enciso, ED Sontag" "On the stability of a model of testosterone dynamics" 2004 "Journal of Mathematical Biology" "Springer" "http://www.springerlink.com/index/4HAJNQTHJ9NYK7LK.pdf" "http://scholar.google.com/scholar?cites=3138010632197762303&hl=en&num=100" 28 "D Angeli, ED Sontag, Y Wang" "Further equivalences and semiglobal versions of integral input to state stability" 2000 "Dynamics and Control" "Springer" "http://www.springerlink.com/index/V0865882G6222X13.pdf" "http://scholar.google.com/scholar?cites=11931573709614008619&hl=en&num=100" 27 "ED Sontag" "Concept of local observability." 1984 "Syst. Control Lett." "csa.com" "http://www.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=0878852CI" "http://scholar.google.com/scholar?cites=11950907905896507575&hl=en&num=100" 27 "F Albertini, ED Sontag" "State observability in recurrent neural networks" 1994 "Systems and Control Letters" "reference.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=17401766486595316201&hl=en&num=100" 27 "Y Wang, ED Sontag" "Algebraic differential equations and rational control systems" 1992 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=15950073214806748850&hl=en&num=100" 27 "M Malisoff, L Rifford, E Sontag" "Global Asymptotic Controllability Implies Input" 2004 "Journal reference: SIAM Journal on Control and ナ" "arxiv.org" "http://arxiv.org/abs/math/0305067" "http://scholar.google.com/scholar?cites=14992326926608102921&hl=en&num=100" 26 "ED Sontag" "Conditions for abstract nonlinear regulation" 1981 "Information and Control" "http://scholar.google.com/scholar?cites=17629026754977656576&hl=en&num=100" 26 "ED Sontag, Y Wang" "On characterizations of input-to-state stability with respect to compact sets" 1995 "Proc. IFAC Non-Linear Control Systems Design ナ" "Citeseer" "http://scholar.google.com/scholar?cites=1857003267453407256&hl=en&num=100" 26 "M Chaves, ED Sontag" "State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency" 2000 "Arxiv preprint math/0012130" "arxiv.org" "http://arxiv.org/abs/math.OC/0012130" "http://scholar.google.com/scholar?cites=8523400274349428805&hl=en&num=100" 26 "GA Enciso, HL Smith, ED Sontag" "Nonmonotone systems decomposable into monotone systems with negative feedback" 2006 "Journal of Differential Equations" "math.uci.edu" "http://scholar.google.com/scholar?cites=10185942519128294177&hl=en&num=100" 26 "R Koplon, ED Sontag, MLJ Hautus" "On a learnability question associated to neural networks with continuous activations ( ナ" 1994 "Linear Algebra and its Applications" "Citeseer" "http://scholar.google.com/scholar?cites=888021449084413303&hl=en&num=100" 25 "E Sontag" "On generalized inverses of polynomial and other matrices" 1980 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1102377" "http://scholar.google.com/scholar?cites=15876473937794388846&hl=en&num=100" 25 "GA Enciso, ED Sontag" "Global attractivity, I/O monotone small-gain theorems, and biological delay systems" 2006 "DYNAMICAL SYSTEMS" "users.mbi.ohio-state.edu" "http://scholar.google.com/scholar?cites=17026559448988067300&hl=en&num=100" 25 "B Ingalls, ED Sontag, Y Wangナ" "An infinite-time relaxation theorem for differential inclusions" 2003 "Proceedings of the American Mathematical Society" "ams.org" "http://scholar.google.comhttps://www.ams.org/proc/2003-131-02/S0002-9939-02-06539-5/S0002-9939-02-06539-5.pdf" "http://scholar.google.com/scholar?cites=7265086630748697801&hl=en&num=100" 25 "Y Chitour, W Liu, ED Sontag" "On the continuity and incremental-gain properties of certainsaturated linear feedback loops" 1994 "Decision and Control, 1994., Proceedings of the 33rd ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=411034" "http://scholar.google.com/scholar?cites=7412317422568992008&hl=en&num=100" 25 "W Maass, P Joshi, ED Sontag" "Computational aspects of feedback in neural circuits" 2007 "PLOS Computational Biology" "compbiol.plosjournals.org" "http://scholar.google.com/scholar?cites=13314504656774190456&hl=en&num=100" 25 "ナ , R Gavalda, HT Siegelmann, ED Sontag" "Some structural complexity aspects of neural computation" 1993 "Structure in Complexity Theory Conference, 1993., ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=336521" "http://scholar.google.com/scholar?cites=4792580952662920319&hl=en&num=100" 24 "ED Sontag" "Shattering All Sets of 'k' Points in General Position Requires (k-1)/2 Parameters" 1997 "Neural Computation" "MIT Press" "http://www.mitpressjournals.org/doi/abs/10.1162/neco.1997.9.2.337" "http://scholar.google.com/scholar?cites=13968925834383229147&hl=en&num=100" 24 "ED Sontag, Y Wang" "Detectability of nonlinear systems" 1996 "Proceedings of the Conference on Information ナ" "Citeseer" "http://scholar.google.com/scholar?cites=12456532049928573227&hl=en&num=100" 24 "HT Siegelmann, ED Sontag" "Analog computation, neural networks, and circuits" 1994 "Theoretical Computer Science" "http://scholar.google.com/scholar?cites=6708917413657537298&hl=en&num=100" 24 "P De Leenheer, D Angeli, ED Sontag" "On predator-prey systems and small-gain theorems" 2005 "Mathematical Biosciences and Engineering" "Citeseer" "http://scholar.google.com/scholar?cites=3857871229992450615&hl=en&num=100" 24 "D Angeli, P De Leenheer, ED Sontag" "A small-gain theorem for almost global convergence of monotone systems" 2004 "Systems & Control Letters" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0167691104000349" "http://scholar.google.com/scholar?cites=18339517141492908504&hl=en&num=100" 24 "D Angeli, P De Leenheer, ED Sontag" "A Petri net approach to the study of persistence in chemical reaction networks" 2007 "Mathematical Biosciences" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0025556407001460" "http://scholar.google.com/scholar?cites=9063586723650486460&hl=en&num=100" 23 "GA Lafferriere, ED Sontag" "Remarks on continuous feedback" 1993 "IEEE Conference on Decision and Control" "Citeseer" "http://scholar.google.com/scholar?cites=1119045935595984580&hl=en&num=100" 23 "ED Sontag, Y Rouchalean" "On Discrete-Time Polynomial Systems." 1975 "Citeseer" "http://scholar.google.com/scholar?cites=17837887544734115224&hl=en&num=100" 23 "Y Lin, ED Sontag, Y Wang" "Input to state stabilizability for parametrized families of systems" 1995 "International Journal of Robust and Nonlinear Control" "reference.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=13116989045449523237&hl=en&num=100" 23 "D Angeli, B Ingalls, ED Sontag, Y Wang" "Separation principles for input-output and integral-input-to-state stability" 2005 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=357181263062251045&hl=en&num=100" 22 "Y Yang, ED Sontag, HJ Sussmann" "Global stabilization of linear discrete-time systems with bounded feedback" 1997 "Systems & Control Letters" "portal.acm.org" "http://portal.acm.org/citation.cfm?id=257950" "http://scholar.google.com/scholar?cites=8001595107163650251&hl=en&num=100" 22 "M Chyba, NE Leonard, ED Sontag" "Singular trajectories in multi-input time-optimal problems: Application to controlled ナ" 2002 "Arxiv preprint math/0205017" "arxiv.org" "http://arxiv.org/abs/math.OC/0205017" "http://scholar.google.com/scholar?cites=1113182759908074329&hl=en&num=100" 21 "ED Sontag" "A remark on the converging-input converging-state property" 2003 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1178918" "http://scholar.google.com/scholar?cites=15647983153842631657&hl=en&num=100" 21 "E Sontag" "On first-order equations for multidimensional filters" 1978 "IEEE Transactions on Acoustics, Speech and Signal ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1163124" "http://scholar.google.com/scholar?cites=2870736078343357321&hl=en&num=100" 21 "ED Sontag" "Recurrent neural networks: Some systems-theoretic aspects" 1997 "Dealing with complexity: A neural network approach" "Citeseer" "http://scholar.google.com/scholar?cites=5298955602278885428&hl=en&num=100" 21 "G Enciso, ED Sontag" "Monotone systems under positive feedback: multistability and a reduction theorem" 2005 "Systems & Control Letters" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0167691104001239" "http://scholar.google.com/scholar?cites=14190614706837648919&hl=en&num=100" 21 "D Del Vecchio, AJ Ninfa, ED Sontag" "Modular cell biology: retroactivity and insulation" 2008 "Molecular Systems Biology" "nature.com" "http://www.nature.com/msb/journal/v4/n1/full/msb4100204.html?message=remove" "http://scholar.google.com/scholar?cites=14166641766430379424&hl=en&num=100" 21 "W Desch, H Logemann, EP Ryan, ED Sontag" "Meagre functions and asymptotic behaviour of dynamical systems" 2001 "Nonlinear Analysis" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0362546X99003235" "http://scholar.google.com/scholar?cites=71068296964248238&hl=en&num=100" 20 "ED Sontag" "Some connections between stabilization and factorization" 0 "Proc. IEEE Conf. Decision and Control, Tampa, Dec. ナ" "Citeseer" "http://scholar.google.com/scholar?cites=15918528826863730091&hl=en&num=100" 20 "E Sontag, H Sussmann" "Complete controllability of continuous-time recurrent neural networks" 1997 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=4376497638302342106&hl=en&num=100" 20 "Y Wang, ED Sontag" "On two definitions of observation spaces." 1989 "Syst. Control Lett." "Citeseer" "http://scholar.google.com/scholar?cites=1663883536816248256&hl=en&num=100" 20 "L Moreau, E Sontag" "Balancing at the border of instability" 2003 "Physical Review E" "APS" "http://link.aps.org/doi/10.1103/PhysRevE.68.020901" "http://scholar.google.com/scholar?cites=5867234347618473273&hl=en&num=100" 20 "M Malisoff, ED Sontag" "niversal formulas for CLF's with respect to Minkowski balls" 1999 "Proceedings of the 1999 American Control Conference" "Citeseer" "http://scholar.google.com/scholar?cites=11855523627171860071&hl=en&num=100" 20 "D Liberzon, ED Sontag, Y Wang" "On integral-input-to-state stabilization" 1999 "American Control Conference, 1999. Proceedings of ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=786098" "http://scholar.google.com/scholar?cites=16127086419275837440&hl=en&num=100" 19 "ED Sontag" "For Differential Equations with r Parameters, 2 r+ 1 Experiments Are Enough for ナ" 2008 "Journal of Nonlinear Science" "Springer" "http://www.springerlink.com/index/GJJM8ELRHE7WNUFD.pdf" "http://scholar.google.com/scholar?cites=2734631839823437290&hl=en&num=100" 19 "M Arcak, ED Sontag" "Diagonal stability of a class of cyclic systems and its connection with the secant criterion" 2006 "Automatica" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0005109806001713" "http://scholar.google.com/scholar?cites=8462170190247142370&hl=en&num=100" 19 "MA Dahleh, ED Sontag, DNC Tse, JN ナ" "Worst-case identification of nonlinear fading memory systems" 1995 "AUTOMATICA-OXFORD-" "Citeseer" "http://scholar.google.com/scholar?cites=14480496147401741328&hl=en&num=100" 18 "ED Sontag" "Mathematical control theory, volume 6 of" 0 "Texts in Applied Mathematics" "http://scholar.google.com/scholar?cites=12629950253014072027&hl=en&num=100" 18 "HT Siegelmann, ED Sontag" "Neural networks with real weights: analog computational complexity" 0 "SYCON Report" "reference.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=12985278821168419253&hl=en&num=100" 18 "D Angeli, ED Sontag" "An analysis of a circadian model using the small-gain approach to monotone systems" 2004 "43rd IEEE Conference on Decision and Control, 2004 ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1428692" "http://scholar.google.com/scholar?cites=16599326063995492052&hl=en&num=100" 18 "Y Wang, ED Sontag" "Orders of input/output differential equations and state-space dimensions" 1995 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=3247975056887717387&hl=en&num=100" 18 "M Chaves, ED Sontag, RJ Dinerstein" "Steady-states of receptorヨligand dynamics: a theoretical framework" 2004 "Journal of theoretical biology" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0022519303004399" "http://scholar.google.com/scholar?cites=5385556001493452874&hl=en&num=100" 18 "M Chaves, ED Sontag, RJ Dinerstein" "Optimal length and signal amplification in weakly activated signal transduction cascades" 2003 "Arxiv preprint math/0311357" "arxiv.org" "http://arxiv.org/abs/math.OC/0311357" "http://scholar.google.com/scholar?cites=5929513978759899359&hl=en&num=100" 18 "Y Yang, HJ Sussmann, ED Sontag" "Stabilization of linear systems with bounded controls" 1993 "IFAC SYMPOSIA SERIES" "reference.kfupm.edu.sa" "http://scholar.google.com/scholar?cites=4483695209906463103&hl=en&num=100" 17 "ED Sontag" "Passivity gains and the モsecant conditionヤ for stability" 2006 "Systems & Control Letters" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0167691105001088" "http://scholar.google.com/scholar?cites=2558113309026967450&hl=en&num=100" 17 "ED Sontag" "Monotone and near-monotone biochemical networks" 2007 "Systems and Synthetic Biology" "Springer" "http://www.springerlink.com/index/X44774083876J062.pdf" "http://scholar.google.com/scholar?cites=4504926458715806726&hl=en&num=100" 17 "ED Sontag" "Some topics in neural networks and control" 1993 "Proceedings of the European Control Conference" "Citeseer" "http://scholar.google.com/scholar?cites=9215947937279049326&hl=en&num=100" 17 "NAW van Riel, ED Sontag" "Parameter estimation in models combining signal transduction and metabolic pathways: ナ" 2006 "Systems biology" "Citeseer" "http://scholar.google.com/scholar?cites=2194206910094124260&hl=en&num=100" 17 "D Angeli, ED Sontag" "Translation-invariant monotone systems, and a global convergence result for enzymatic ナ" 2008 "Nonlinear Analysis: Real World Applications" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S1468121806001155" "http://scholar.google.com/scholar?cites=16211694689820264670&hl=en&num=100" 17 "JP Hespanha, D Liberzon, ED Sontag" "onlinear Observability and an Invariance Principle for Switched Systems (I)" 2002 "IEEE CONFERENCE ON DECISION AND CONTROL" "Citeseer" "http://scholar.google.com/scholar?cites=3923999886109739792&hl=en&num=100" 17 "X Bao, Z Lin, ED Sontag" "Finite gain stabilization of discrete-time linear systems subject to actuator saturation" 2000 "Automatica-Kidlington" "Citeseer" "http://scholar.google.com/scholar?cites=2024834752925830071&hl=en&num=100" 16 "BN Kholodenko, ED Sontag" "Determination of functional network structure from local parameter dependence data" 2002 "Arxiv preprint physics/0205003" "arxiv.org" "http://arxiv.org/abs/physics/0205003" "http://scholar.google.com/scholar?cites=2028465172725739450&hl=en&num=100" 16 "R Koplon, ED Sontag" "Linear systems with sign-observations" 1993 "SIAM Journal on Control and Optimization" "Citeseer" "http://scholar.google.com/scholar?cites=12312021561195892333&hl=en&num=100" 16 "ED Sontag, HJ Sussmann" "Remarks on the time-optimal control of two-link manipulators" 1985 "Decision and Control, 1985 24th IEEE Conference on" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4048595" "http://scholar.google.com/scholar?cites=14887739731286884989&hl=en&num=100" 16 "W Maass, P Joshi, ED Sontag" "Principles of real-time computing with feedback applied to cortical microcircuit models" 2006 "Advances in neural information processing systems" "th.physik.uni-frankfurt.de" "http://scholar.google.com/scholar?cites=2780029810636033091&hl=en&num=100" 16 "P De Leenheer, D Angeli, ED Sontag" "A feedback perspective for chemostat models with crowding effects" 2003 "Lecture Notes in Control and Information Sciences" "Springer" "http://www.springerlink.com/index/6qgatfqfkvnfvkc6.pdf" "http://scholar.google.com/scholar?cites=6136521053579809597&hl=en&num=100" 16 "AR Teel, TT Georgiou, L Praly, E Sontag" "Input-output stability" 1996 "The Control Handbook, CRC Press, Boca Raton, FL" "Citeseer" "http://scholar.google.com/scholar?cites=10732827038407063621&hl=en&num=100" 14 "ED Sontag" "An introduction to the stabilization problem for parametrized families of linear systems" 1985 "Contemporary Mathematics" "Citeseer" "http://scholar.google.com/scholar?cites=3517399392796304775&hl=en&num=100" 14 "ED Sontag" "ilinear realizability is equivalent to existence of a singular affine differential i/o equation" 1988 "Syst. Control Lett." "math.rutgers.edu" "http://scholar.google.com/scholar?cites=3743115870178558272&hl=en&num=100" 14 "E Sontag" "Controllability and linearized regulation" 1987 "IEEE Transactions on Automatic Control" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1104453" "http://scholar.google.com/scholar?cites=2454912517676443192&hl=en&num=100" 14 "ED Sontag" "emarks on interpolation and recognition using neural nets" 1991 "Advances in Neural Information Processing Systems" "books.nips.cc" "http://scholar.google.com/scholar?cites=3951960802917199171&hl=en&num=100" 14 "ED Sontag, Y Wang" "On characterizations of input-to-state stability property with respect to compact sets" 1995 "Proc. Prep. IFAC NOLCOS" "http://scholar.google.com/scholar?cites=14481255890354229451&hl=en&num=100" 14 "M Maliso, ED Sontag" "niversal formulas for feedback stabilization with respect to Minkowski balls" 2000 "Systems & Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=13222389951972995395&hl=en&num=100" 14 "JM Sontag, E Sontag" "Regulation of cell adhesion by PP2A and SV40 small tumor antigen: an important link to cell ナ" 2006 "Cellular and Molecular Life Sciences (CMLS)" "Springer" "http://www.springerlink.com/index/B1G54X07613UM041.pdf" "http://scholar.google.com/scholar?cites=7126242243922437275&hl=en&num=100" 14 "L Moreau, E Sontag, M Arcak" "eedback tuning of bifurcations" 2003 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=8032356643073875500&hl=en&num=100" 14 "B DasGupta, JP Hespanha, J Riehl, E Sontag" "Honey-pot constrained searching with local sensory information" 2006 "Nonlinear Analysis" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0362546X06000538" "http://scholar.google.com/scholar?cites=4718535425282052561&hl=en&num=100" 13 "ED Sontag" "Input/output and state-space stability" 1991 "New Trends in Systems Theory" "Citeseer" "http://scholar.google.com/scholar?cites=3766667491479897717&hl=en&num=100" 13 "H Siegelman, E Sontag" "Neural nets are universal computing devices" 1991 "Sycon-91-08, Rutger University" "http://scholar.google.com/scholar?cites=3645614914175956858&hl=en&num=100" 13 "P De Leenheer, D Angeli, ED Sontag" "A tutorial on monotone systems-with an application to chemical reaction networks" 2004 "Proc. 16th Int. Symp. Mathematical Theory of ナ" "dimacs.rutgers.edu" "http://scholar.google.com/scholar?cites=9593395143264922501&hl=en&num=100" 12 "ED Sontag" "On linear systems and noncommutative rings" 1975 "Theory of Computing Systems" "Springer" "http://www.springerlink.com/index/M85474N604650042.pdf" "http://scholar.google.com/scholar?cites=2730507149696087784&hl=en&num=100" 12 "ED Sontag" "A learning result for continuous-time recurrent neural networks" 1998 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=14502270305849129523&hl=en&num=100" 12 "ED Sontag" "Orbit theorems and sampling" 1986 "Algebraic And Geometric Methods in Nonlinear Control ナ" "Citeseer" "http://scholar.google.com/scholar?cites=16301293501795199676&hl=en&num=100" 12 "ED Sontag" "Further results about input-state stabilization" 1990 "IEEE Trans. Automat. Contr" "http://scholar.google.com/scholar?cites=4003487929666065800&hl=en&num=100" 12 "MLJ Hautus, ED Sontag" "New results on pole-shifting for parametrized families of systems" 1986 "J. Pure Applied Algebra" "Citeseer" "http://scholar.google.com/scholar?cites=7262793924423759162&hl=en&num=100" 12 "ED Sontag, Y Wang" "Various results concerning set input-to-state stability" 1995 "Proc. IEEE CDC" "http://scholar.google.com/scholar?cites=6653249446516590650&hl=en&num=100" 12 "MLJ Hautus, ED Sontag" "An approach to detectability and observers" 1980 "Lectures in Applied Mathematics" "http://scholar.google.com/scholar?cites=15982177037918994825&hl=en&num=100" 12 "ED Sontag, FR Wirth" "Remarks on universal nonsingular controls for discrete-time systems" 1998 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=13826449216578548096&hl=en&num=100" 12 "M Chyba, NE Leonard, ED Sontag" "ptimality for Underwater Vehicles (I)" 2001 "IEEE Conference on Decision and Control" "princeton.edu" "http://scholar.google.com/scholar?cites=8955598058564507483&hl=en&num=100" 12 "W Maass, G Schnitger, ED Sontag" "A comparison of the computational power of sigmoid and Boolean threshold circuits" 1994 "Theoretical Advances in Neural Computation and ナ" "books.google.com" "http://books.google.com/books?hl=en&lr=&id=1-1xjgAk2_cC&oi=fnd&pg=PA127&dq=e+sontag+-schnell,+-provenzale,+-fedoro,+-kelleher,+-robinso,+-romeo,+-losasso,+-aiello,+-kamibay,+-sheikh,+-levinton,+-vries&ots=2Qe2Rr7yI-&sig=g4eHcQxUsuVGkgmUmqddkr2ZZw8" "http://scholar.google.com/scholar?cites=3022386140737893313&hl=en&num=100" 12 "JL Mancilla-Aguilar, R Garcia, E Sontag, Y ナ" "On the representation of switched systems with inputs by perturbed control systems" 2005 "Nonlinear Analysis" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0362546X04004808" "http://scholar.google.com/scholar?cites=11295881866304382475&hl=en&num=100" 11 "ED Sontag" "State-space and I/O stability for nonlinear systems" 1995 "LECTURE NOTES IN CONTROL AND INFORMATION ナ" "Springer" "http://www.springerlink.com/index/w5211378v653vr57.pdf" "http://scholar.google.com/scholar?cites=2047985838329356107&hl=en&num=100" 11 "Y Rouchaleau, ED Sontag" "On the existence of minimal realizations of linear dynamical systems over Noetherian ナ" 1979 "J. Comput. Syst. Sci." "oai.dtic.mil" "http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA043671" "http://scholar.google.com/scholar?cites=3459334634951066747&hl=en&num=100" 11 "ED Sontag, Y Lin" "Stabilization with respect to noncompact sets: Lyapunov characterizations and effect of ナ" 1993 "IFAC SYMPOSIA SERIES" "PERGAMON PRESS" "http://scholar.google.com/scholar?cites=13106593861245156727&hl=en&num=100" 11 "ED Sontag, Y Yang" "Global stabilization of linear systems with bounded feedback" 0 "SYCON Report" "http://scholar.google.com/scholar?cites=2528565269957964927&hl=en&num=100" 11 "M Arcak, ED Sontag" "Diagonal stability for a class of cyclic systems and applications" 2006 "Automatica" "http://scholar.google.com/scholar?cites=13003059604302846975&hl=en&num=100" 11 "F Albertini, ED Sontag" "Identifiability of discrete-time neural networks" 0 "Proc. European Control Conference" "http://scholar.google.com/scholar?cites=6489475636153259802&hl=en&num=100" 11 "M Malisoff, E Sontag" "Asymptotic controllability and input-to-state stabilization: The effect of actuator errors" 2005 "Springer" "http://www.springerlink.com/index/5r4uuh6g3rd9361w.pdf" "http://scholar.google.com/scholar?cites=6242952632752153370&hl=en&num=100" 11 "BP Ingalls, ED Sontag, Y Wang" "Generalizations of asymptotic gain characterizations of ISS to input-to-output stability (P)" 2001 "PROCEEDINGS OF THE AMERICAN CONTROL ナ" "cds.caltech.edu" "http://scholar.google.com/scholar?cites=13426166065467345261&hl=en&num=100" 11 "D Angeli, B Ingalls, ED Sontag, Y Wang" "Uniform global asymptotic stability of differential inclusions" 2004 "Journal of Dynamical and Control Systems" "Springer" "http://www.springerlink.com/index/X564813627M88GQ4.pdf" "http://scholar.google.com/scholar?cites=3987815117803528357&hl=en&num=100" 11 "E Sontag, A Veliz-Cuba, R Laubenbacher, AS ナ" "The effect of negative feedback loops on the dynamics of Boolean networks" 2008 "Biophysical Journal" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0006349508702297" "http://scholar.google.com/scholar?cites=4603400872021276940&hl=en&num=100" 10 "ED Sontag" "Systems combining linearity and saturations, and relations of'neural nets'." 1992 "the IFAC Symposium on Nonlinear Control Systems ナ" "csa.com" "http://www.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=0070111CI" "http://scholar.google.com/scholar?cites=13515994017942878537&hl=en&num=100" 10 "ED Sontag" "Polynomial Response Maps, volume 13 of Lecture Notes in Control and Information ナ" 1979 "Springer Verlag" "http://scholar.google.com/scholar?cites=6827487900384272064&hl=en&num=100" 10 "E Sontag" "On the input-to-state stability properties" 1995 "European Journal of Control" "http://scholar.google.com/scholar?cites=18233515273713046637&hl=en&num=100" 10 "ED Sontag" "Sigmoids distinguish more efficiently than Heavisides" 1989 "Neural Computation" "MIT Press" "http://www.mitpressjournals.org/doi/abs/10.1162/neco.1989.1.4.470" "http://scholar.google.com/scholar?cites=17314838191516526382&hl=en&num=100" 10 "ED Sontag" "On the recognition capabilities of feedforward nets" 1990 "Report SYCON" "http://scholar.google.com/scholar?cites=4847010868940568579&hl=en&num=100" 10 "PP Khargonekar, ED Sontag" "On the relation between stable matrix fraction decompositions and regulable realizations of ナ" 1982 "IEEE Trans. Autom. Control" "http://scholar.google.com/scholar?cites=1370944607238308218&hl=en&num=100" 10 "B Jakubczyk, ED Sontag" "The effect of sampling on feedback linearization" 1987 "26th IEEE Conference on Decision and Control, 1987" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4049513" "http://scholar.google.com/scholar?cites=18276012989496946504&hl=en&num=100" 10 "M Arcak, ED Sontag" "A passivity-based stability criterion for a class of interconnected systems and applications ナ" 2008 "Mathematical Biosciences and Engineering" "arxiv.org" "http://scholar.google.com/scholar?cites=10451972646956004516&hl=en&num=100" 10 "F Albertini, ED Sontag" "ome connections between chaotic dynamical systems and control systems" 0 "Proc. European Control Conference" "Citeseer" "http://scholar.google.com/scholar?cites=16037551262059644751&hl=en&num=100" 10 "Y Lin, E Sontag" "On control-Lyapunov functions under input constraints" 1994 "Decision and Control, 1994., Proceedings of the 33rd ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=410973" "http://scholar.google.com/scholar?cites=6751124681090289951&hl=en&num=100" 10 "D Angeli, ED Sontag" "Monotone controlled systems" 2003 "IEEE Trans. Autom. Control" "http://scholar.google.com/scholar?cites=18251617071393814663&hl=en&num=100" 10 "T Gedeon, ED Sontag" "Oscillations in multi-stable monotone systems with slowly varying feedback" 2007 "Journal of differential equations" "Elsevier" "http://linkinghub.elsevier.com/retrieve/pii/S0022039607001659" "http://scholar.google.com/scholar?cites=15795317676822262366&hl=en&num=100" 10 "B DasGupta, HT Siegelmann, E Sontag" "On a learnability question associated to neural networks with continuous activations ( ナ" 1994 "Proceedings of the seventh annual conference on ナ" "portal.acm.org" "http://portal.acm.org/citation.cfm?id=180139.181009" "http://scholar.google.com/scholar?cites=8736316226511482561&hl=en&num=100" 10 "D Angeli, P De Leenheer, ED Sontag" "On the structural monotonicity of chemical reaction networks" 2006 "Decision and Control, 2006 45th IEEE Conference on" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4177280" "http://scholar.google.com/scholar?cites=4735135444717878535&hl=en&num=100" 10 "LW Sontag, P Munson, E Huff" "Effects on the fetus of hypervitaminosis D and calcium and phosphorus deficiency during ナ" 1936 "Amer. J. Dis. Child" "http://scholar.google.com/scholar?cites=13538280867580279850&hl=en&num=100" 10 "C Darken, M Donahue, L Gurvits, E Sontag" "Rates of convex approximation in non-Hilbert spaces" 1997 "Constructive Approximation" "http://scholar.google.com/scholar?cites=5940717574246237821&hl=en&num=100" 9 "ED Sontag" "On split realizations of response maps over rings" 1976 "csa.com" "http://www.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=N7811795AH" "http://scholar.google.com/scholar?cites=1727215911409493626&hl=en&num=100" 9 "ED Sontag" "Feedforwardnetsforinterpolationand classification" 1992 "Journal of Computer and System Sciences" "http://scholar.google.com/scholar?cites=9712256387932240048&hl=en&num=100" 9 "ED Sontag" "Sigmoids distinguish better than Heavisides" 1989 "Neural Computation" "http://scholar.google.com/scholar?cites=6885308671058481478&hl=en&num=100" 9 "ED Sontag" "Automata and neural networks" 1998 "portal.acm.org" "http://portal.acm.org/citation.cfm?id=303568.303613" "http://scholar.google.com/scholar?cites=3545044575276088854&hl=en&num=100" 9 "ED Sontag" "paces of observables in nonlinear control" 1994 "Proceedings of the International Congress of ナ" "Citeseer" "http://scholar.google.com/scholar?cites=7169694856109187678&hl=en&num=100" 9 "HT Siegelmann, ED Sontag" "Some Recent Results on Computing With"" Neural Nets" 0 "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=321278" "http://scholar.google.com/scholar?cites=2422719978463233964&hl=en&num=100" 9 "L Rosier, ED Sontag" "Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions ナ" 1999 "Arxiv preprint math/9912007" "arxiv.org" "http://arxiv.org/abs/math/9912007" "http://scholar.google.com/scholar?cites=3246084014403897497&hl=en&num=100" 9 "ED Sontag, YS Ledyaev" "A lyapunov characterization of robust stabilization" 1999 "Journal of Nonlinear Analysis" "http://scholar.google.com/scholar?cites=3354317636026575699&hl=en&num=100" 9 "L Wang, ED Sontag" "Almost global convergence in singular perturbations of strongly monotone systems" 2006 "Lecture notes in control and information sciences" "Springer" "http://www.springerlink.com/index/r646lj414mt23013.pdf" "http://scholar.google.com/scholar?cites=16953987605064428108&hl=en&num=100" 9 "D Angeli, P De Leenheer, ED Sontag" "On predator-prey systems and small-gain theorems" 2005 "Mathematical Biosciences and Engineering" "http://scholar.google.com/scholar?cites=3115746750077296776&hl=en&num=100" 9 "JS H'ector, ED Sontag, Y Yang" "A general result on the stabilization of linear systems using bounded controls" 1994 "IEEE Transactions on Automatic Control" "Citeseer" "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.7087" "http://scholar.google.com/scholar?cites=12710851061815532777&hl=en&num=100" 9 "R Alur, T Henzinger, E Sontag" "Hybrid Systems III, number 1066 in Lecture Notes in Computer Science" 1996 "Springer-Verlag" "http://scholar.google.com/scholar?cites=15963416296763109119&hl=en&num=100" 9 "R Albert, B DasGupta, R Dondi, E Sontag" "Inferring (biological) signal transduction networks via transitive reductions of directed graphs" 2008 "Algorithmica" "Springer" "http://www.springerlink.com/index/7w218547u7k08286.pdf" "http://scholar.google.com/scholar?cites=17345674308223479413&hl=en&num=100" 9 "FH Clarke, YS Ledyaev, E Sontag, AI ナ" "Asymptotic controllability and feedback stabilization" 1996 "Proc. Conf. on Information Sciences and Systems (CISS ナ" "http://scholar.google.com/scholar?cites=16498063935798598374&hl=en&num=100" 9 "VD Blondel, ED Sontag, M Vidyasagar, JC ナ" "Simultaneous stabilization of linear systems and interpolation with rational functions" 1998 "Open problems in mathematical systems and control ナ" "Springer Verlag" "http://scholar.google.com/scholar?cites=14597371432845156087&hl=en&num=100" 8 "E Sontag" "Gradient techniques for systems with no drift: a classical idearevisited" 1993 "Decision and Control, 1993., Proceedings of the 32nd ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=325687" "http://scholar.google.com/scholar?cites=1609411489625386854&hl=en&num=100" 8 "ED Sontag" "On some questions of rationality and decidability" 1975 "J. Comput. Syst. Sci." "http://scholar.google.com/scholar?cites=17863115596989115839&hl=en&num=100" 8 "ED Sontag" "An algebraic approach to bounded controllability of linear systems. Int" 1984 "Journal of Control" "http://scholar.google.com/scholar?cites=3565910040394536749&hl=en&num=100" 8 "ED Sontag" "Some complexity questions regarding controllability" 1988 "Decision and Control, 1988., Proceedings of the 27th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=194538" "http://scholar.google.com/scholar?cites=15183970922560767967&hl=en&num=100" 8 "ED Sontag" "On stability of perturbed asymptotically stable systems" 2003 "IEEE Trans. Automat. Contr" "http://scholar.google.com/scholar?cites=16617601509487592525&hl=en&num=100" 8 "ED Sontag andY" "Wang,\ New characterizations ofinput-to-state stability,""" 1996 "IEEE Trans. Autom. Control" "http://scholar.google.com/scholar?cites=11379860186710112125&hl=en&num=100" 8 "F Albertini, ED Sontag" "niqueness of weights for recurrent nets" 1994 "MATHEMATICAL RESEARCH" "Citeseer" "http://scholar.google.com/scholar?cites=734718973765814824&hl=en&num=100" 8 "Y Wang, ED Sontag" "enerating series and nonlinear systems: Analytic aspects, local realizability, and i/o ナ" 1991 "Forum Math" "Citeseer" "http://scholar.google.com/scholar?cites=6809047386460182464&hl=en&num=100" 8 "M Krischman, ED Sontag" "A version of a converse Lyapunov theorem for input-output to statestability" 1998 "Decision and Control, 1998. Proceedings of the 37th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=761948" "http://scholar.google.com/scholar?cites=4762235328043988186&hl=en&num=100" 8 "F Albertini, ED Sontag" "ontrol-Lyapunov Functions for Time-Varying Set Stabilization" 1997 "European Control Conference" "Citeseer" "http://scholar.google.com/scholar?cites=1300914538520759651&hl=en&num=100" 8 "E Sontag, Y Wang" "New characteristics of input-to-state stability" 1996 "IEEE Trans. Automat. Contr" "http://scholar.google.com/scholar?cites=11813515136304096050&hl=en&num=100" 8 "D Nesic, ED Sontag" "nput-to-state stabilization of linear systems with positive outputs" 1998 "Systems and Control Letters" "Citeseer" "http://scholar.google.com/scholar?cites=16536867035853082898&hl=en&num=100" 8 "M Malisoff, M Krichman, E Sontag" "Global stabilization for systems evolving on manifolds" 2006 "Journal of Dynamical and Control Systems" "Springer" "http://www.springerlink.com/index/T8L666652105R8P8.pdf" "http://scholar.google.com/scholar?cites=14509470937178837705&hl=en&num=100" 8 "B DasGupta, HT Siegelmann, E Sontag" "On the intractability of loading neural networks" 1994 "Theoretical Advances in Neural Computation and ナ" "books.google.com" "http://books.google.com/books?hl=en&lr=&id=1-1xjgAk2_cC&oi=fnd&pg=PA357&dq=e+sontag+-schnell,+-provenzale,+-fedoro,+-kelleher,+-robinso,+-romeo,+-losasso,+-aiello,+-kamibay,+-sheikh,+-levinton,+-vries&ots=2Qe2Rr7yI-&sig=guvEt1n32GA56L8F-W-HkepymFU" "http://scholar.google.com/scholar?cites=7060330568660934876&hl=en&num=100" 8 "BP Ingalls, ED Sontag, Y Wang" "Measurement to error stability: a notion of partial detectability for nonlinear systems" 2002 "Arxiv preprint math/0202098" "arxiv.org" "http://arxiv.org/abs/math.OC/0202098" "http://scholar.google.com/scholar?cites=11988435666782246651&hl=en&num=100" 8 "D Angeli, B Ingalls, ED Sontag, Y Wang" "symptotic characterizations of IOSS" 2001 "IEEE CONFERENCE ON DECISION AND CONTROL" "math.uwaterloo.ca" "http://scholar.google.com/scholar?cites=10909070894460838691&hl=en&num=100" 7 "ED Sontag" "From linear to nonlinear: Some complexity questions" 0 "Proceedings of the 34th IEEE Conference on Decision ナ" "http://scholar.google.com/scholar?cites=1561423801773845042&hl=en&num=100" 7 "ED Sontag" "Systems combining linearity and saturations and relations to neural networks" 1992 "Rutgers Center Syst. Contr., Tech. Rep, SYCON-924H" "http://scholar.google.com/scholar?cites=15013356547634928866&hl=en&num=100" 7 "ED Sontag" "Linear systems over commutative rings: a (partial) updated survey" 1981 "Proceedings 8th World Congress of IFAC, Kyoto" "http://scholar.google.com/scholar?cites=1759052226802941564&hl=en&num=100" 7 "ED Sontag" "An eigenvalue condition for sampled weak controllability of bilinear systems" 1986 "Systems & Control Letters" "portal.acm.org" "http://portal.acm.org/citation.cfm?id=11437.11447" "http://scholar.google.com/scholar?cites=12488371349863213259&hl=en&num=100" 7 "ED Sontag" "On the internal realization of polynomial response maps" 1976 "University of Florida." "http://scholar.google.com/scholar?cites=8220082356785888660&hl=en&num=100" 7 "ED Sontag" "On certain questions of rationality and decidability" 1975 "J. Comp. Syst. Sci" "http://scholar.google.com/scholar?cites=12220331188536405924&hl=en&num=100" 7 "ED Sontag" "Real addition and the polynomial hierarchy,"" Inform" 1985 "Proc. Letters" "http://scholar.google.com/scholar?cites=13673504321086944067&hl=en&num=100" 7 "H Siegelman, ED Sontag" "Neural networks are universal computing devices" 0 "Technical Report SYCON-91-08, Rutgers Center for ナ" "http://scholar.google.com/scholar?cites=6958966358765793710&hl=en&num=100" 7 "E Sontag, Y Lin" "Gradient techniques for systems with no drift,""" 1992 "Proc. of Conf. in Signals and Systems" "http://scholar.google.com/scholar?cites=12204516899886295913&hl=en&num=100" 7 "ED Sontag, HJ Sussmann" "Image restoration and segmentation using the annealing algorithm" 1985 "Decision and Control, 1985 24th IEEE Conference on" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4048401" "http://scholar.google.com/scholar?cites=13913111198292000185&hl=en&num=100" 7 "D Angeli, ED Sontag, Y Wang" "A remark on integral input to state stability" 1998 "Decision and Control, 1998. Proceedings of the 37th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=757800" "http://scholar.google.com/scholar?cites=1630681741666389007&hl=en&num=100" 7 "D Angeli, ED Sontag, Y Wang" "nput-to-state stability with respect to inputs and their derivatives" 2003 "International Journal of Robust and Nonlinear Control" "Citeseer" "http://scholar.google.com/scholar?cites=1785254181827529321&hl=en&num=100" 7 "ナ V Kargin, L Moreau, E Sontag, M Arcak, CL ナ" "ational semimodules over the max-plus semiring and geometric approach of discrete ナ" 2004 "The Journal of the Czech Society for" "kybernetika.utia.cas.cz" "http://scholar.google.com/scholar?cites=15639678867233827597&hl=en&num=100" 6 "ED Sontag" "Shattering all sets of 'k'points in モgeneral positionヤ requires 9"" W parameters" 1997 "Neural Computation" "http://scholar.google.com/scholar?cites=7772337005088662085&hl=en&num=100" 6 "ED Sontag" "Remarks on the preservation of various controllability properties under sampling" 0 "Developpement et Utilisation d'Outils et Modeles ナ" "http://scholar.google.com/scholar?cites=16645886753323410255&hl=en&num=100" 6 "ED Sontag" "Integrability of certain distributions associated with actions on manifolds and applications to ナ" 1990 "Nonlinear Controllability and Optimal Control" "books.google.com" "http://books.google.com/books?hl=en&lr=&id=cW5mJmWOxqMC&oi=fnd&pg=PA117&dq=e+sontag+-schnell,+-provenzale,+-fedoro,+-kelleher,+-robinso,+-romeo,+-losasso,+-aiello,+-kamibay,+-sheikh,+-levinton,+-vries&ots=94KzBnuq4f&sig=jAhrA8jfR1HS1aSBjUm5FPnmMBk" "http://scholar.google.com/scholar?cites=12067080892863288636&hl=en&num=100" 6 "ED Sontag" "Nonlinear regulation: the piecewise affine approach" 1981 "IEEE Trans. Automatic Contr" "http://scholar.google.com/scholar?cites=14134103154794319141&hl=en&num=100" 6 "ED Sontag" "The lattice of minimal realizations of response maps over rings" 1977 "Theory of Computing Systems" "Springer" "http://www.springerlink.com/index/L80331218P421885.pdf" "http://scholar.google.com/scholar?cites=8854433217265970&hl=en&num=100" 6 "E Sontag, Y Wang" "On characterizations of set input-to-state stability" 1995 "Proceedings of IFAC Non-Linear Control Systems ナ" "http://scholar.google.com/scholar?cites=8700868550576830569&hl=en&num=100" 6 "L Wang, ED Sontag" "Singularly perturbed monotone systems and an application to double phosphorylation ナ" 2008 "Journal of Nonlinear Science" "Springer" "http://www.springerlink.com/index/5828J808GV223R20.pdf" "http://scholar.google.com/scholar?cites=4878523964812560130&hl=en&num=100" 6 "ED Sontag, HJ Sussmann" "Accessibility under sampling" 1982 "Decision and Control, 1982 21st IEEE Conference on" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4047339" "http://scholar.google.com/scholar?cites=9182692088370789117&hl=en&num=100" 6 "ED Sontag, Y Qiao" "Further results on controllability of recurrent neural networks" 1999 "Arxiv preprint math.OC/9902023" "arxiv.org" "http://arxiv.org/abs/math/9902023" "http://scholar.google.com/scholar?cites=3269804283497711557&hl=en&num=100" 6 "L Wang, ED Sontag" "A remark on singular perturbations of strongly monotone systems" 2006 "Decision and Control, 2006 45th IEEE Conference on" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4177967" "http://scholar.google.com/scholar?cites=3371885723412198239&hl=en&num=100" 6 "ED Sontag, Y Lin" "A universal formula for stabilization with bounded controls" 1991 "Systems Control Lett" "Citeseer" "http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.611" "http://scholar.google.com/scholar?cites=5506697299230020321&hl=en&num=100" 6 "ED Sontag, Y Wang" "I/O equations for nonlinear systems and observation spaces" 1991 "Decision and Control, 1991., Proceedings of the 30th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=261406" "http://scholar.google.com/scholar?cites=14720925318996377906&hl=en&num=100" 6 "W Maass, ED Sontag" "A precise characterization of the class of languages recognized by neural nets under ナ" 1999 "Advances in neural information processing systems" "books.google.com" "http://books.google.com/books?hl=en&lr=&id=bMuzXPzlkG0C&oi=fnd&pg=PA281&dq=e+sontag+-schnell,+-provenzale,+-fedoro,+-kelleher,+-robinso,+-romeo,+-losasso,+-aiello,+-kamibay,+-sheikh,+-levinton,+-vries&ots=MuqetDCNNa&sig=S_pXzhu3XWAdac9IdlzNX0qfxV0" "http://scholar.google.com/scholar?cites=6132347795925447869&hl=en&num=100" 6 "P De Leenheer, D Angeli, ED Sontag" "rowding effects promote coexistence in the chemostat" 2006 "Journal of Mathematical Analysis and Applications" "Citeseer" "http://scholar.google.com/scholar?cites=1321566545791037628&hl=en&num=100" 6 "FH Clarke, YS Ledyaev, ED Sontag, AI ナ" "Asymptotic stabilization implies feedback stabilization" 1997 "IEEE Trans. Automat. Control" "http://scholar.google.com/scholar?cites=8502771526981592301&hl=en&num=100" 6 "Y Lin, E Sontag, Y Wang" "Various results concerning set input-to-state stability" 1995 "Decision and Control, 1995., Proceedings of the 34th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=480283" "http://scholar.google.com/scholar?cites=4634860499284340938&hl=en&num=100" 6 "MMR Jovanovic, MM Arcak, EED Sontag" "A Passivity-Based Approach to Stability of Spatially Distributed Systrems With a Cyclic ナ" 0 "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4378229" "http://scholar.google.com/scholar?cites=13403764374236461026&hl=en&num=100" 6 "R Alur, TA Henzinger, ED Sontag" "Hybrid Systems III: Verification and Control, Proceedings of the DIMACS" 0 "SYCON Workshop, October 22-25, 1995, Rutgers ナ" "http://scholar.google.com/scholar?cites=6896439156271927948&hl=en&num=100" 6 "P De Leenheer, D Angeli, ED Sontag" "Small-gain theorems for predator-prey systems" 2003 "Lecture notes in control and information sciences" "Springer" "http://www.springerlink.com/index/g4flbrat5tva8u4b.pdf" "http://scholar.google.com/scholar?cites=18160831854654995622&hl=en&num=100" 6 "D Liberzon, AS Morse, ED Sontag" "A new definition of the minimum-phase property for nonlinearsystems, with an application to ナ" 2000 "Decision and Control, 2000. Proceedings of the 39th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=914105" "http://scholar.google.com/scholar?cites=12685287421857272868&hl=en&num=100" 6 "D Angeli, P De Leencheer, ED Sontag" "Remarks on monotonicity and convergence in chemical reaction networks" 2004 "43rd IEEE Conference on Decision and Control, 2004 ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1428637" "http://scholar.google.com/scholar?cites=5960412725134072476&hl=en&num=100" 5 "ED Sontag" "On the preservation of certain controllability properties under sampling,""" 0 "Developpement et Utilization d'Outiles et Modeles ナ" "http://scholar.google.com/scholar?cites=8517902558867092354&hl=en&num=100" 5 "ED Sontag" "The ISS philosophy as a unifying framework for stability-like behavior, Nonlinear Control in ナ" 2000 "Lecture Notes in Control and Information Sciences" "http://scholar.google.com/scholar?cites=3700698578019101831&hl=en&num=100" 5 "ED Sontag" "ome remarks on the backpropagation algorithm for neural net learning" 1988 "Rutgers Center for Systems and Control Technical ナ" "Citeseer" "http://scholar.google.com/scholar?cites=16223488002923626054&hl=en&num=100" 5 "ED Sontag" "A Characterization of Asymptotic Controllability" 1982 "Dynamical Systems II: Proceedings of a University of ナ" "Academic Press" "http://scholar.google.com/scholar?cites=9954106283636169488&hl=en&num=100" 5 "ED Sontag" "Remarks on the time-optimal control of a class of hamiltoniansystems" 1989 "Decision and Control, 1989., Proceedings of the 28th ナ" "ieeexplore.ieee.org" "http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=70106" "http://scholar.google.com/scholar?cites=1777703357257541001&hl=en&num=100"