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Table of contents

About this book

Introduction

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.

Keywords

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

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0110597
  • Copyright Information Springer-Verlag London Limited 2001
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-419-2
  • Online ISBN 978-1-84628-817-3
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site