Global Lyapunov analysis of multi-stable nonlinear systems

Efimov, Denis

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1137/090767509

Title :

Global Lyapunov analysis of multi-stable nonlinear systems

Author(s) :

Efimov, Denis [Auteur]

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

Journal title :

SIAM Journal on Control and Optimization

Pages :

3132-3154

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2012-11-01

ISSN :

0363-0129

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

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