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Liapunov Functions and Stability in Control Theory

  • Book
  • © 2001

Overview

Authors:
  1. Andrea Bacciotti
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  2. Lionel Rosier
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 267)

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Table of contents (6 chapters)

  1. Front Matter

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  2. Differential equations

    Pages 1-17

  3. Tine invariant systems

    Pages 19-71

  4. Time varying systems

    Pages 73-99

  5. Differential inclusions

    Pages 101-143

  6. Additional properties of strict Liapunov functions

    Pages 145-180

  7. Monotonicity and generalized derivatives

    Pages 181-194

  8. Back Matter

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Keywords

About this book

The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs.

Bibliographic Information

  • Book Title: Liapunov Functions and Stability in Control Theory

  • Authors: Andrea Bacciotti, Lionel Rosier

  • Series Title: Lecture Notes in Control and Information Sciences

  • DOI: https://doi.org/10.1007/BFb0110597

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2001

  • eBook ISBN: 978-1-84628-817-3Published: 13 December 2007

  • Series ISSN: 0170-8643

  • Series E-ISSN: 1610-7411

  • Edition Number: 1

  • Number of Pages: XI, 210

  • Topics: Control and Systems Theory

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