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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1097-1102
Number of pages	6
Journal	Systems and Control Letters
Volume	61
Issue number	11
DOIs	https://doi.org/10.1016/j.sysconle.2012.08.007
Publication status	Published - Nov 2012
Externally published	Yes

Keywords

Contraction
Monotone systems
Phase models
Synchronization

Access to Document

10.1016/j.sysconle.2012.08.007

Cite this

@article{02e028503bd64ad09175dde8bc91e6ee,

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",

volume = "61",

pages = "1097--1102",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier",

number = "11",

}

TY - JOUR

T1 - Contraction of monotone phase-coupled oscillators

AU - Mauroy, A.

AU - Sepulchre, R.

PY - 2012/11

Y1 - 2012/11

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84866541251&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this