Recently, the subject of nonlinear control systems analysis has grown
rapidly and this book provides a simple and self-contained presentation
of their stability and feedback stabilization which enables the reader
to learn and understand major techniques used in mathematical control
theory. In particular: the important techniques of proving global
stability properties are presented closely linked with corresponding
methods of nonlinear feedback stabilization; a general framework of
methods for proving stability is given, thus allowing the study of a
wide class of nonlinear systems, including finite-dimensional systems
described by ordinary differential equations, discrete-time systems,
systems with delays and sampled-data systems; approaches to the proof of
classical global stability properties are extended to non-classical
global stability properties such as non-uniform-in-time stability and
input-to-output stability; and new tools for stability analysis and
control design of a wide class of nonlinear systems are introduced. The
presentational emphasis of Stability and Stabilization of Nonlinear
Systems is theoretical but the theory's importance for concrete control
problems is highlighted with a chapter specifically dedicated to
applications and with numerous illustrative examples. Researchers
working on nonlinear control theory will find this monograph of interest
while graduate students of systems and control can also gain much
insight and assistance from the methods and proofs detailed in this
book.
