Cover image for Liapunov functions and stability in control theory
Title:
Liapunov functions and stability in control theory
Personal Author:
Series:
Communications and control engineering
Edition:
2nd ed.
Publication Information:
New York, NY : Springer, 2005
ISBN:
9783540213321
Added Author:

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30000010093230 QA402.3 B32 2005 Open Access Book Book
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30000010106429 QA402.3 B32 2005 Open Access Book Book
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Summary

Summary

This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is 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. 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. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g., about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.


Table of Contents

Differential Equations
Time Invariant Systems
Time Varying Systems
Differential Inclusions