Contraction of monotone phase-coupled oscillators

Contraction; Monotone systems; Phase models; Synchronization; A-monotone; Asymptotic behaviors; Asymptotic convergence; Coupling functions; Phase model; Phase-coupled oscillators; Total variation; Control; Electrical engineering; Shrinkage; Oscillators (mechanical)

Abstract :

[en] 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.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others
Mathematics

Author, co-author :

Mauroy, Alexandre ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Language :

English

Title :

Contraction of monotone phase-coupled oscillators

Publication date :

2012

Journal title :

Systems and Control Letters

ISSN :

0167-6911

eISSN :

1872-7956

Publisher :

Elsevier, Netherlands

Volume :

Issue :

Pages :

1097-1102

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 03 April 2014

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Bibliography

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