LOCAL STABILIZABILITY
OF NONLINEAR CONTROL SYSTEMS
by Andrea Bacciotti
(Politecnico di Torino, Italy)
This new book aims to present the stabilizability problem for
nonlinear systems in a well organized and detailed way: the
problem, its motivation, features and results. Control systems
defined by ODE's are dealt with. Many worked examples are
included. The main focus is on the mathematical aspects, but some
important applications are also described.
The contents includes: a sketch of the linear theory, the
linearization method, relationship between controllability and
stabilizability, certain versions of the Liapunov function
approach, local approximation techniques, the critical cases and
the center manifold method, cascade systems, bilinear systems,
homogeneous systems, low dimensional systems.