CUED Publications database

Contraction of monotone phase-coupled oscillators

Mauroy, A and Sepulchre, R (2012) Contraction of monotone phase-coupled oscillators. Systems and Control Letters, 61. pp. 1097-1102. ISSN 0167-6911

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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. © 2012 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Contraction Monotone systems Phase models Synchronization
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:19
DOI: 10.1016/j.sysconle.2012.08.007