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Table of contents

  1. Front Matter
  2. Michael I. Gil’
    Pages 1-4
  3. Michael I. Gil’
    Pages 5-26
  4. Michael I. Gil’
    Pages 27-38
  5. Michael I. Gil’
    Pages 39-60
  6. Michael I. Gil’
    Pages 61-70
  7. Michael I. Gil’
    Pages 85-92
  8. Michael I. Gil’
    Pages 111-127
  9. Michael I. Gil’
    Pages 129-134
  10. Michael I. Gil’
    Pages 135-144
  11. Michael I. Gil’
    Pages 145-152
  12. Michael I. Gil’
    Pages 153-158
  13. Michael I. Gil’
    Pages 167-169
  14. Michael I. Gil’
    Pages 171-181
  15. Michael I. Gil’
    Pages 183-184
  16. Back Matter

About this book

Introduction

Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.

Keywords

Aizerman Problem Continuous Finite Dimensional Systems Control Systems Freezing Method Linear And Nonlinear Systems Matriy-Valued Functions Positivity of Impulse Functions control control system nonlinear system stability stability theory syst

Bibliographic information

  • DOI https://doi.org/10.1007/b99808
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-23984-0
  • Online ISBN 978-3-540-31637-4
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site
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