Feedback Systems
Input-Output Properties

A comprehensive treatment of the behavior of linear or nonlinear systems when they are connected in a closed-loop fashion.

Charles A. Desoer (Author), M. Vidyasagar (Author)

9780898716702, Society for Industrial and Applied Mathematics

Paperback / softback, published 19 March 2009

284 pages
22.8 x 1.5 x 15.2 cm, 0.39 kg

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.

Preface to the Classics edition
Preface
Acknowledgments
Note to the reader
List of symbols
1. Memoryless nonlinearities
2. Norms
3. General theorems
4. Linear systems
5. Applications of the small gain theorem
6. Passivity
Appendix A. Integrals and series
Appendix B. Fourier transforms
Appendix C. Convolution
Appendix D. Algebras
Appendix E. Bellman-Gronwall Lemma
References
Index.

Subject Areas: Electronics engineering [TJF], Applied mathematics [PBW]