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Call Number 629.8/3
Author Desoer, Charles A.
Title Feedback systems [electronic resource] : input-output properties / Charles A. Desoer, M. Vidyasagar.
Publication Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2009.
Material Info. 1 electronic text (xx, 264 p.) : ill., digital file.
Series Classics in applied mathematics ; 55
Series Classics in applied mathematics ; 55.
Summary Note 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.
Notes Originally published: New York : Academic Press, 1975.
Notes Includes bibliographical references (p. 255-260) and index.
Notes 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.
ISBN 9780898719055 (electronic bk.)
Subject Feedback control systems.
Subject Feedback systems
Subject Input-output stability
Subject Nonlinear systems
Added Entry Vidyasagar, M. (Mathukumalli), 1947-
Added Entry Society for Industrial and Applied Mathematics.
Date Year, Month, Day:01405141
Link SIAM

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