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 Mauroy | 1 | 59 | 8.21 |
Rodolphe Sepulchre | 2 | 1478 | 140.85 |