Constructions of Strict Lyapunov Functions

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Sprache: Englisch

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Beschreibung

Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not lend themselves to engineering applications. Often, even when a system is known to be stable, one still needs explicit Lyapunov functions; however, once an appropriate strict Lyapunov function has been constructed, many robustness and stabilization problems can be solved through standard feedback designs or robustness arguments. Non-strict Lyapunov functions are often readily constructed.

This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. Their explicitness and simplicity make them suitable for feedback design, and for quantifying the effects of uncertainty. Readers will benefit from the authors¿ mathematical rigor and unifying, design-oriented approach, as well as the numerous worked examples.

Zusammenfassung

Provides the reader with a user-friendly framework for building Lyapunov functions in novel settings

Helps the reader with feedback design and in quantifying the effects of system uncertainty

Includes supplementary material: [...]

Inhaltsverzeichnis

Background.- Background on Nonlinear Systems.- Review of Lyapunov Functions.- Time-Invariant Case.- Matrosov Conditions: Simple Case.- Jurdjevic-Quinn Conditions.- Systems Satisfying the Conditions of LaSalle.- Time-Varying Case.- Strictification: Basic Results.- Backstepping for Time-Varying Systems.- Matrosov Conditions: General Case.- Adaptively Controlled Systems.- Systems with Multiple Time Scales.- Rapidly Time-Varying Systems.- Slowly Time-Varying Systems.- Hybrid Time-Varying Systems.

Erscheinungsjahr:	2014
Fachbereich:	Nachrichtentechnik
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Communications and Control Engineering
Inhalt:	xvi 386 S.
ISBN-13:	9781447157823
ISBN-10:	1447157826
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Mazenc, Frédéric Malisoff, Michael
Hersteller:	Springer London Springer-Verlag London Ltd. Communications and Control Engineering
Maße:	235 x 155 x 22 mm
Von/Mit:	Frédéric Mazenc (u. a.)
Erscheinungsdatum:	30.10.2014
Gewicht:	0,61 kg

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