Global Lyapunov analysis of multi-stable nonlinear systems

Efimov, Denis

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1137/090767509

Titre :

Global Lyapunov analysis of multi-stable nonlinear systems

Auteur(s) :

Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Titre de la revue :

SIAM Journal on Control and Optimization

Pagination :

3132-3154

Éditeur :

Society for Industrial and Applied Mathematics

Date de publication :

2012-11-01

ISSN :

0363-0129

Discipline(s) HAL :

Mathématiques [math]/Systèmes dynamiques [math.DS]

Résumé en anglais : [en]

A new type of stability is introduced and its equivalent Lyapunov characterization is presented. The problem of global stability for the compact set composed of all invariant solutions of a nonlinear system (several ...
Lire la suite >A new type of stability is introduced and its equivalent Lyapunov characterization is presented. The problem of global stability for the compact set composed of all invariant solutions of a nonlinear system (several equilibriums, for instance) is studied. Such problem statement allows us to analyze global stability properties for multi-stabl e systems. It is shown that several well-known multi-stable systems satisfy this new stability property.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :