Constructions of Strict Lyapunov Functions

Autor: Michael Malisoff, Frédéric Mazenc

Jazyk:

Väzba: Pevná

Vydavateľ: Springer London Ltd

Dostupnosť: Skladom u dodávateľa

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

Informácie o knihe

Autor

Michael Malisoff, Frédéric Mazenc

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2009

Stránok

386

EAN

9781848825345

ISBN

184882534X

Enbook ID

03616109

Vydavateľ

Springer London Ltd

Hmotnosť

770

Rozmery

155 x 235 x 23

Kompletný 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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