Constructions of Strict Lyapunov Functions

Автор: Michael Malisoff, Frédéric Mazenc

Език:

Корици: С твърди корици

Издател: Springer London Ltd

Наличност: Външен склад

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

Информация за книгата

Автор

Michael Malisoff, Frédéric Mazenc

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2009

страници

386

EAN

9781848825345

ISBN

184882534X

Enbook ID

03616109

Издател

Springer London Ltd

Теглоt

770

Размери

155 x 235 x 23

Пълно описание

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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