L2 - Gain and Passivity Techniques in Nonlinear Control

  • Arjan van der Schaft

Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Arjan van der Schaft
    Pages 1-9
  3. Arjan van der Schaft
    Pages 11-29
  4. Arjan van der Schaft
    Pages 31-61
  5. Arjan van der Schaft
    Pages 63-123
  6. Arjan van der Schaft
    Pages 125-136
  7. Arjan van der Schaft
    Pages 137-161
  8. Arjan van der Schaft
    Pages 163-192
  9. Arjan van der Schaft
    Pages 193-227
  10. Back Matter
    Pages 229-248

About this book


With respect to the first edition as Volume 218 in the Lecture Notes in Con­ trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of input-output and closed-loop stability, together with a choice of contributions to the recent theory of nonlinear robust and 1foo control and passivity-based control. Nevertheless, some parts of the book have been thoroughly revised and/or expanded, in order to have a more balanced presen­ tation of the theory and to include some of the new developments which have been taken place since the appearance of the first edition. I soon realized, how­ ever, that it is not possible to give a broad exposition of the existing literature in this area without affecting the spirit of the book, which is precisely aimed at a compact presentation. So as a result the second edition still reflects very much my personal taste and research interests. I trust that others will write books emphasizing different aspects. Major changes with respect to the first edition are the following: • A new section has been added in Chapter 2 relating L2-gain and passivity via scattering, emphasizing a coordinate-free, geometric, treatment. • The section on stability in Chapter 3 has been thoroughly expanded, also incorporating some recent results presented in [182J.


Nonlinear system control control theory feedback modeling nonlinear control optimal control stability stability theory stabilization system systems theory

Authors and affiliations

  • Arjan van der Schaft
    • 1
  1. 1.Faculty of Mathematical SciencesUniversity of TwenteEnschedeThe Netherlands

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London Limited 2000
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4471-1154-2
  • Online ISBN 978-1-4471-0507-7
  • Series Print ISSN 0178-5354
  • Buy this book on publisher's site