On the robust synchronization of Brockett oscillators

Abstract : 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.
Type de document :
Communication dans un congrès
PSYCO'2016 - 6th IFAC International Workshop on Periodic Control Systems, Jun 2016, Eindhoven, Netherlands. 49, pp.142 - 147, 2016, 〈10.1016/j.ifacol.2016.07.999〉
Liste complète des métadonnées

Littérature citée [31 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01380180
Contributeur : Rosane Ushirobira <>
Soumis le : mercredi 12 octobre 2016 - 16:00:20
Dernière modification le : mercredi 4 juillet 2018 - 17:36:02
Document(s) archivé(s) le : samedi 4 février 2017 - 20:21:28

Fichier

AUE_IFAC_PSYCO_2016.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov. On the robust synchronization of Brockett oscillators. PSYCO'2016 - 6th IFAC International Workshop on Periodic Control Systems, Jun 2016, Eindhoven, Netherlands. 49, pp.142 - 147, 2016, 〈10.1016/j.ifacol.2016.07.999〉. 〈hal-01380180〉

Partager

Métriques

Consultations de la notice

344

Téléchargements de fichiers

58