Constructions of Strict Lyapunov Functions

Autor: Michael Malisoff, Frédéric Mazenc

Jazyk:

Vazba: Pevná

Vydavatel: Springer London Ltd

Dostupnost: Skladem u dodavatele

Odesíláme za 10-13 dnů

4 111 Kč

Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situ...

Informace o knize

Autor

Michael Malisoff, Frédéric Mazenc

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2009

Stránek

386

EAN

9781848825345

ISBN

184882534X

Enbook ID

03616109

Vydavatel

Springer London Ltd

Hmotnost

770

Rozměry

155 x 235 x 23

Kompletní popis

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.

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Constructions of Strict Lyapunov Functions

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