This work provides coverage of the analytical foundations of various aspects of nonlinear systems, including solutions, approximate analysis methods and stability theory from both the Lyapunov and the input-output viewpoints. The book presents the mathematical approach to the study of nonlinear systems; includes coverage of differential geometric methods for nonlinear systems (including recent research findings); covers nonlinear reachability and feedback linearization and both discrete-time and continuous-time systems; and incorporates...
This second edition text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. Three chapters cover the topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory, with reference material unavailable elsewhere.
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