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Science/Engineering Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)

Posted on 2010-03-15




Name:Science/Engineering Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)
ASIN/ISBN:0898716705
Language:English
File size:31.2 Mb
Publish Date: 2008-12-16
ISBN: 0898716705
Pages: 284 pages
File Type: PDF
File Size: 31,2 MB
Other Info: Society for Industrial and Applied Mathematic
   Science/Engineering Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)

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Charles A. Desoer, M. Vidyasagar, "Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)"

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: The text is appropriate for advanced graduate students and researchers in control theory, dynamical systems, and ordinary and partial differential equations.

Contents: Preface to the Classics Edition; Preface; Acknowledgments; Note to the Reader; List of Symbols; Chapter I: Memoryless Nonlinearities; Chapter II: Norms; Chapter III: General Theorems; Chapter IV: Linear Systems; Chapter V: Applications of the Small Gain Theorem; Chapter VI: 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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