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Feedback systems : input-output properties

Author: Charles A Desoer; M Vidyasagar; Society for Industrial and Applied Mathematics.
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2009.
Series: Classics in applied mathematics, 55.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Desoer, Charles A.
Feedback systems.
Philadelphia : Society for Industrial and Applied Mathematics, ©2009
(DLC) 2008039189
(OCoLC)247442171
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charles A Desoer; M Vidyasagar; Society for Industrial and Applied Mathematics.
ISBN: 9780898719055 0898719054
OCLC Number: 693779012
Notes: Originally published: New York : Academic Press, 1975.
Description: 1 electronic text (xx, 264 pages : illustrations) : digital file.
Contents: Memoryless nonlinearities --
Norms --
General theorems --
Linear systems --
Applications of the small gain theorem --
Passivity --
Appendix A: Integrals and series --
Appendix B: Fourier transforms --
Appendix C: Convolution --
Appendix D: Algebras --
Appendix E: Bellman-Gronwall lemma.
Series Title: Classics in applied mathematics, 55.
Responsibility: Charles A. Desoer, M. Vidyasagar.

Abstract:

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. Audience: advanced graduate students and researchers in control theory, dynamical systems, and ordinary and partial differential equations.

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