On the robust synchronization of Brockett ...
Type de document :
Communication dans un congrès avec actes
Titre :
On the robust synchronization of Brockett oscillators
Auteur(s) :
Ahmed, Hafiz [Auteur]
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]
Department of Control Systems and Informatics [CSI]
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]
Department of Control Systems and Informatics [CSI]
Titre de la manifestation scientifique :
PSYCO'2016 - 6th IFAC International Workshop on Periodic Control Systems
Ville :
Eindhoven
Pays :
Pays-Bas
Date de début de la manifestation scientifique :
2016-06-29
Date de publication :
2016
Mot(s)-clé(s) en anglais :
Input-to-State Stability
synchronization
multistability
Brockett oscillator
synchronization
multistability
Brockett oscillator
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Résumé en anglais : [en]
In this article, motivated by a recent work of R. Brockett Brockett (2013), we study a robust synchronization problem for multistable Brockett oscillators within an Input-to-State Stability (ISS) framework. Based on a ...
Lire la suite >In this article, motivated by a recent work of R. Brockett Brockett (2013), we study a robust synchronization problem for multistable Brockett oscillators within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems and its application to the synchronization of multistable systems, a synchronization protocol is designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The invariant sets are assumed to admit a decomposition without cycles (i.e. with neither homoclinic nor heteroclinic orbits). Contrarily to the local analysis of Brockett (2013), the conditions obtained in our work are global and applicable for family of non-identical oscillators. Numerical simulation examples illustrate our theoretical results.Lire moins >
Lire la suite >In this article, motivated by a recent work of R. Brockett Brockett (2013), we study a robust synchronization problem for multistable Brockett oscillators within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems and its application to the synchronization of multistable systems, a synchronization protocol is designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The invariant sets are assumed to admit a decomposition without cycles (i.e. with neither homoclinic nor heteroclinic orbits). Contrarily to the local analysis of Brockett (2013), the conditions obtained in our work are global and applicable for family of non-identical oscillators. Numerical simulation examples illustrate our theoretical results.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
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