Stability of Dynamical Systems - Continuous, Discontinuous, and Discrete Systems (by Michel, A.N. et al.; 2008) [Bookshelf]

The goal of this book is to provide a reference text for graduate students and researchers on stability theory for the class of systems encountered in modern applications. This goal is achieved since the book offers a self-contained presentation of stability theory. The book is organized in nine chapters, most of which include sections with notes and references, problems, and bibliography. Some of the topics covered include: the history of stability theory; dynamical systems; invariance theory; discrete-event systems; finite-dimensional systems; linear systems; pulse-width-modulated feedback systems; digital filters; and stability issues for infinite-dimensional (continuous and discontinuous) systems. The book is clearly written, and difficult concepts are illustrated by means of good examples. The book should provide a useful reference for researchers working in control theory as well as for Ph.D. students.