Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization

  • Authors
  • Lars Grüne

Part of the Lecture Notes in Mathematics book series (LNM, volume 1783)

Table of contents

  1. Front Matter
    Pages N2-IX
  2. Lars Grüne
    Pages 13-25
  3. Lars Grüne
    Pages 27-68
  4. Lars Grüne
    Pages 69-112
  5. Lars Grüne
    Pages 137-156
  6. Lars Grüne
    Pages 157-194
  7. Lars Grüne
    Pages 195-200
  8. Lars Grüne
    Pages 201-205
  9. Lars Grüne
    Pages 207-217
  10. Lars Grüne
    Pages 219-220
  11. Lars Grüne
    Pages 221-227
  12. Lars Grüne
    Pages 229-231
  13. Back Matter
    Pages 233-235

About this book

Introduction

This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.

Keywords

algorithm algorithms control control system control theory differential games nonlinear control optimal control stability

Bibliographic information

  • DOI https://doi.org/10.1007/b83677
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43391-0
  • Online ISBN 978-3-540-36784-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book