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

Buch 1 von 65: Communications and Control Engineering

Bacciotti, Andrea; Rosier, Lionel

 
9783540213321: Liapunov Functions and Stability in Control Theory (Communications and Control Engineering)
Hardcover
ISBN 10: 3540213325 ISBN 13: 9783540213321
Verlag: Springer, 2005

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Andrea Bacciotti was Full Professor of Mathematical Analysis at Politecnico di Torino, Italy, where he also served as Dean of the Mathematics Department. His research interests concern ordinary differential equations, differential inclusions, mathematical control theory, and switched systems theory. He is also active in popularization and diffusion of the mathematical culture. With Springer, he already published the books "Liapunov Functions and Stability in Control Theory" (ISBN 978-3-540-21332-1) and "Stability and Control of Linear Systems" (ISBN 978-3-030-02404-8).

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
3540213325
ISBN 13 
9783540213321
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
250
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
64293
Deutschland

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