Liapunov Functions and Stability in Control Theory (Communications and Control Engineering) - Softcover

Bacciotti, Andrea; Rosier, Lionel

 
9783642059681: Liapunov Functions and Stability in Control Theory (Communications and Control Engineering)

Synopsis

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.

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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9781852334192: Liapunov Functions and Stability in Control Theory (Lecture Notes in Control and Information Sciences)

Featured Edition

ISBN 10:  1852334193 ISBN 13:  9781852334192
Publisher: Springer, 2001
Softcover