Table of contents

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.


Direct Liapunov Method Lyapunoc Function Nonlinear Systems control control theory differential inclusions nonlinear control nonlinear system stability stabilization

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
  • Series Abbreviated Title Lect Notes Control Inf Sci
  • DOI
  • Copyright Information Springer-Verlag London Limited 2001
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-1-85233-419-2
  • eBook ISBN 978-1-84628-817-3
  • Series ISSN 0170-8643
  • Series E-ISSN 1610-7411
  • Edition Number 1
  • Number of Pages XI, 210
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Control and Systems Theory
  • Buy this book on publisher's site
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