Item description for Liapunov Functions and Stability in Control Theory (Communications and Control Engineering) by Andrea Bacciotti & Lionel Rosier...
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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Est. Packaging Dimensions: Length: 0.75" Width: 6.25" Height: 9.5" Weight: 1.1 lbs.
Release Date Apr 13, 2005
ISBN 3540213325 ISBN13 9783540213321
Reviews - What do customers think about Liapunov Functions and Stability in Control Theory (Communications and Control Engineering)?
Super Book Dec 17, 2002
Bacciotti and Rosier have managed to present a nonformal, yet rigorous and well-organized introduction to nonlinear stabilization and controllability. They have definetly captured the most important research trends in the area and have managed to cover a wide range of topics with appropriate deepness. My only suggestion would be to add a list of symbols to the book and to discuss Chow's Theorem and the accessibility rank condition. Thanks for a great book!