Feedback Systems
Input-Output Properties
Part of Classics in Applied Mathematics
- Authors:
- Charles A. Desoer , University of California, Berkeley
- M. Vidyasagar, Tata Institute of Fundamental Research, Mumbai, India
- Date Published: March 2009
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898716702
Paperback
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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.
Read more- 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
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×Product details
- Date Published: March 2009
- format: Paperback
- isbn: 9780898716702
- length: 284 pages
- dimensions: 228 x 15 x 152 mm
- weight: 0.39kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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.
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