ENGLISH

Feedback systems: input-output properties

By M. Vidyasagar , Charles A. Desoer

Book information

Publisher
Society for Industrial and Applied Mathematic
Year
2008
ISBN
9780898716702, 0898716705
LCC
TJ216 .D42 2008
Open Library ID
OL22515430M
Language
english
Format
DJVU
Filesize
2 MB (2406067 bytes)
Series
Classics in Applied Mathematics
Pages
284\284
Library
Kolxo3
DPI
600
Time added
2009-12-04 00:34:26

Description

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

Similar books