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Feedback Systems

Feedback Systems
Input-Output Properties

Part of Classics in Applied Mathematics

  • Date Published: March 2009
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716702


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About the Authors
  • 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.

    • The first and only book which gives a comprehensive treatment of closed-loop linear and nonlinear systems
    • Moves from basic concepts onto advanced topics
    • Appropriate for researchers and advanced graduate students
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    Product details

    • Date Published: March 2009
    • format: Paperback
    • isbn: 9780898716702
    • length: 284 pages
    • dimensions: 228 x 15 x 152 mm
    • weight: 0.39kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface to the Classics edition
    Note to the reader
    List of symbols
    1. Memoryless nonlinearities
    2. Norms
    3. General theorems
    4. Linear systems
    5. Applications of the small gain theorem
    6. Passivity
    Appendix A. Integrals and series
    Appendix B. Fourier transforms
    Appendix C. Convolution
    Appendix D. Algebras
    Appendix E. Bellman-Gronwall Lemma

  • Authors

    Charles A. Desoer , University of California, Berkeley
    Charles A. Desoer is Professor Emeritus of the Department of Electrical Engineering and Computer Science, University of California, Berkeley. He is the author or coauthor of eight books and many journal articles. He is a Fellow of the IEEE and AAAS and a member of the National Academy of Engineering.

    M. Vidyasagar, Tata Institute of Fundamental Research, Mumbai, India
    M. Vidyasagar is Executive Vice President of Advanced Technology at Tata Consultancy Services, which is the largest IT software and services company in India and one of the largest such companies in the world. He is the author of 10 books and more than 130 journal publications. He is a Fellow of IEEE and several academies around the world.

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