ENGLISH

Liapunov functions and stability in control theory

By Andrea Bacciotti , Lionel Rosier

Book information

Publisher
Springer
Year
2005
ISBN
9783540213321, 3540213325
Open Library ID
OL17177738M
Language
english
Format
PDF
Filesize
1 MB (1503046 bytes)
Series
Communications and control engineering
Edition
2nd ed
Pages
244\244
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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 successful book accessible and well readable for engineers as well as mathematicians.

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