Charles A. Desoer and M. Vidyasagar
Classics in Applied Mathematics 55
This book was the first and remains the only book to give a comprehensive treatment of the behavior of linear or nonlinear systems when they are connected in a closed-loop fashion, with the output of one system forming the input of the other. The study of the stability of such systems requires one to draw upon several branches of mathematics but most notably functional analysis.
Feedback Systems: Input-Output Properties includes the most basic concepts of matrices and norms, the important fundamental theorems in input-output stability, and the requisite background material in advanced topics such as the small gain theorem and the passivity theorem.
The text is appropriate for advanced graduate students and researchers in control theory, dynamical systems, and ordinary and partial differential equations.
Preface to the Classics Edition;
Note to the Reader;
List of Symbols;
Chapter 1: Memoryless Nonlinearities;
Chapter 2: Norms;
Chapter 3: General Theorems;
Chapter 4: Linear Systems;
Chapter 5: Applications of the Small Gain Theorem;
Chapter 6: Passivity;
Appendix A: Integrals and Series;
Appendix B: Fourier Transforms;
Appendix C: Convolution;
Appendix D: Algebras;
Appendix E: Bellman--Gronwall Lemma;
About the Authors
Charles A. Desoer is Professor Emeritus of the Department of Electrical Engineering and Computer Science, University of California, Berkeley. He is the author or coauthor of eight books and many journal articles. He is a Fellow of the IEEE and AAAS and a member of the National Academy of Engineering.
M. Vidyasagar is Executive Vice President of Advanced Technology at Tata Consultancy Services, which is the largest IT software and services company in India and one of the largest such companies in the world. He is the author of 10 books and more than 130 journal publications. He is a Fellow of IEEE and several academies around the world.
feedback systems; input-output stability; nonlinear systems
2009 / xx + 264 pages / Softcover / ISBN: 978-0-898716-70-2
List Price $69.50 / SIAM Member Price $48.65/ Order Code CL55