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Zusatztext
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InhaltsangabeDifferential Equations.- Time Invariant Systems.- Time Varying Systems.- Differential Inclusions.
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Kurztext
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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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Autorenportrait
- InhaltsangabeDifferential equations.- Time invariant systems.- Time varying systems.- Differential inclusions.- Additional properties of strict Liapunov functions.- Monotonicity and generalized derivatives.
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Schlagzeile
- 2nd edition
Detailansicht
Liapunov Functions and Stability in Control Theory
Communications and Control Engineering
ISBN/EAN: 9783540213321
Umbreit-Nr.: 1436572
Sprache:
Englisch
Umfang: xiii, 237 S., 20 s/w Illustr.
Format in cm:
Einband:
gebundenes Buch
Erschienen am 13.04.2005