Contraction of monotone phase-coupled oscillators

A. Mauroy; R. Sepulchre

doi:10.1016/j.sysconle.2012.08.007

Contraction of monotone phase-coupled oscillators

A. Mauroy, R. Sepulchre

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

Résumé

This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.

langue originale	Anglais
Pages (de - à)	1097-1102
Nombre de pages	6
journal	Systems and Control Letters
Volume	61
Numéro de publication	11
Les DOIs	https://doi.org/10.1016/j.sysconle.2012.08.007
Etat de la publication	Publié - nov. 2012
Modification externe	Oui

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10.1016/j.sysconle.2012.08.007

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title = "Contraction of monotone phase-coupled oscillators",

abstract = "This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.",

keywords = "Contraction, Monotone systems, Phase models, Synchronization",

author = "A. Mauroy and R. Sepulchre",

year = "2012",

month = nov,

doi = "10.1016/j.sysconle.2012.08.007",

language = "English",

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AU - Sepulchre, R.

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AB - This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total variation distance. The contraction property determines the asymptotic behavior of the network, which is either finite-time synchronization or asymptotic convergence to a splay state.

KW - Contraction

KW - Monotone systems

KW - Phase models

KW - Synchronization

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U2 - 10.1016/j.sysconle.2012.08.007

DO - 10.1016/j.sysconle.2012.08.007

M3 - Article

AN - SCOPUS:84866541251

SN - 0167-6911

VL - 61

SP - 1097

EP - 1102

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 11

ER -

Contraction of monotone phase-coupled oscillators

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