On the robust synchronization of Brockett ...
Document type :
Communication dans un congrès avec actes
Title :
On the robust synchronization of Brockett oscillators
Author(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]
Conference title :
PSYCO'2016 - 6th IFAC International Workshop on Periodic Control Systems
City :
Eindhoven
Country :
Pays-Bas
Start date of the conference :
2016-06-29
Publication date :
2016
English keyword(s) :
Input-to-State Stability
synchronization
multistability
Brockett oscillator
synchronization
multistability
Brockett oscillator
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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