Feedback Systems
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 first and only book which gives a comprehensive treatment of closed-loop linear and nonlinear systems
- Moves from basic concepts onto advanced topics
- Appropriate for researchers and advanced graduate students
Product details
March 2009Paperback
9780898716702
284 pages
228 × 15 × 152 mm
0.39kg
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Table of Contents
- 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.