Skip to main content
  • Book
  • © 1998

Stability of Finite and Infinite Dimensional Systems

Authors:

Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 455)

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xviii
  2. Preliminaries

    • Michael I. Gil’
    Pages 1-19
  3. Estimates for Matrix-Valued Functions

    • Michael I. Gil’
    Pages 21-38
  4. Linear Finite Dimensional Systems

    • Michael I. Gil’
    Pages 39-61
  5. Linear Finite Dimensional Systems (Continuation)

    • Michael I. Gil’
    Pages 63-74
  6. Essentially Nonlinear Finite Dimensional Systems

    • Michael I. Gil’
    Pages 115-131
  7. Linear Autonomous Systems with Delay

    • Michael I. Gil’
    Pages 133-162
  8. Linear Time-Variant Systems with Delay

    • Michael I. Gil’
    Pages 163-185
  9. Nonlinear Systems with Delay

    • Michael I. Gil’
    Pages 187-223
  10. Linear Neutral Type Systems

    • Michael I. Gil’
    Pages 225-246
  11. Strongly Continuous Semigroups

    • Michael I. Gil’
    Pages 261-284
  12. Linear Time-Variant Equations in Banach Spaces

    • Michael I. Gil’
    Pages 285-313
  13. Appendix 1

    • 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.

Authors and Affiliations

  • Ben Gurion University, Beer Sheva, Israel

    Michael I. Gil’

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access