Title :

Robust global synchronization of Brockett oscillators

Author(s) :

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

Institution :

Inria Lille - Nord Europe

Publication date :

2017-07-20

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique
Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

In this article, motivated by a recent work of R. Brockett [Brockett, 2013], a robust global synchronization problem of multistable Brockett oscillators has been studied within an Input-to-State Stability (ISS) framework. ...
Show more >In this article, motivated by a recent work of R. Brockett [Brockett, 2013], a robust global synchronization problem of multistable Brockett oscillators has been studied within an Input-to-State Stability (ISS) framework. Following a recent generalization of the classical ISS theory to multistable systems and its application to the synchronization of multistable systems, two synchronization protocols are designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The conditions obtained in our work are global and applicable to families of non-identical oscillators in contrast to the local analysis of [Brockett, 2013]. Numerical simulation examples illustrate our theoretical results.Show less >

Language :

Anglais

ANR Project :

Surveillance de la qualité de eaux côtières à l'aide de molusques bivalves bio-capteurs

Collections :

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

Source :

Harvested from HAL