Stability of Finite and Infinite Dimensional Systems

  • Michael I. Gil’

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Michael I. Gil’
    Pages 1-19
  3. Michael I. Gil’
    Pages 21-38
  4. Michael I. Gil’
    Pages 39-61
  5. Michael I. Gil’
    Pages 63-74
  6. Michael I. Gil’
    Pages 115-131
  7. Michael I. Gil’
    Pages 133-162
  8. Michael I. Gil’
    Pages 163-185
  9. Michael I. Gil’
    Pages 187-223
  10. Michael I. Gil’
    Pages 225-246
  11. Michael I. Gil’
    Pages 261-284
  12. Michael I. Gil’
    Pages 285-313
  13. Michael I. Gil’
    Pages 343-359
  14. Back Matter
    Pages 355-358

About this book


The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.
Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots.
Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.


control control system differential equation partial differential equation stability stability theory system

Authors and affiliations

  • Michael I. Gil’
    • 1
  1. 1.Ben Gurion UniversityBeer ShevaIsrael

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7550-0
  • Online ISBN 978-1-4615-5575-9
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site