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.
Year
DOI
Venue
2012
10.1016/j.sysconle.2012.08.007
Systems & Control Letters
Keywords
Field
DocType
Synchronization,Phase models,Monotone systems,Contraction
Convergence (routing),Total variation,Contraction (grammar),Synchronization,Mathematical optimization,Oscillation,Coupling,Control theory,Asymptotic analysis,Mathematics,Monotone polygon
Journal
Volume
Issue
ISSN
61
11
0167-6911
Citations 
PageRank 
References 
4
0.48
2
Authors
2
Name
Order
Citations
PageRank
Alexandre Mauroy1598.21
Rodolphe Sepulchre21478140.85