Title :

Robust synchronization for multistable systems

Author(s) :

Ahmed, Hafiz [Auteur correspondant]
Non-Asymptotic estimation for online systems [NON-A]
Ushirobira, Rosane [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Perruquetti, Wilfrid [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

IEEE Transactions on Automatic Control

Pages :

1625-1630

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2016-06

ISSN :

0018-9286

English keyword(s) :

Numerical stability
Lyapunov methods
Robustness
Synchronization
Stability analysis
Nonlinear systems
Manifolds

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique
Informatique [cs]/Recherche d'information [cs.IR]

English abstract : [en]

In this note, we study a robust synchronization problem for multistable systems evolving on manifolds within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to ...
Show more >In this note, we study a robust synchronization problem for multistable systems evolving on manifolds within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems, a robust synchronization protocol is designed with respect to a compact invariant set of the unperturbed system. The invariant set is assumed to admit a decomposition without cycles, that is, with neither homoclinic nor heteroclinic orbits. Numerical simulation examples illustrate our theoretical results.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL