Feedback Systems: Input–Output Properties

✍ Scribed by C.A. Desoer (Eds.)

• Publisher: Academic Press
• Year: 1975
• Tongue: English
• Leaves: 275
• Edition: 1st
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE, Pages ix-x
ACKNOWLEDGMENTS, Pages xi-xii
NOTE TO THE READER, Page xiii
LIST OF SYMBOLS, Pages xv-xvi
I - MEMORYLESS NONLINEARITIES, Pages 1-9, C.A. DESOER, M. VIDYASAGAR
II - NORMS, Pages 10-35, C.A. DESOER, M. VIDYASAGAR
III - GENERAL THEOREMS, Pages 36-55, C.A. DESOER, M. VIDYASAGAR
IV - LINEAR SYSTEMS, Pages 56-135, C.A. DESOER, M. VIDYASAGAR
V - APPLICATIONS OF THE SMALL GAIN THEOREM, Pages 136-167, C.A. DESOER, M. VIDYASAGAR
VI - PASSIVITY, Pages 168-227, C.A. DESOER, M. VIDYASAGAR
A - INTEGRALS AND SERIES, Pages 229-234
B - FOURIER TRANSFORMS, Pages 235-237
C - CONVOLUTION, Pages 238-244
D - ALGEBRAS, Pages 245-251
E - BELLMAN-GRONWALL LEMMA, Pages 252-254
REFERENCES, Pages 255-260
INDEX, Pages 261-264
ELECTRICAL SCIENCE: A Series of Monographs and Texts, Pages ibc1-ibc2