Articles liés à Constructions of Strict Lyapunov Functions

Constructions of Strict Lyapunov Functions - Couverture rigide

Livre 4 sur 65: Communications and Control Engineering

Malisoff, Michael; Mazenc, Frédéric

 
9781848825345: Constructions of Strict Lyapunov Functions

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This construction of strict Lyapunov functions is an ongoing engineering challenge. This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781447157823: Constructions of Strict Lyapunov Functions

Edition présentée

ISBN 10 :  1447157826 ISBN 13 :  9781447157823
Editeur : Springer, 2014
Couverture souple