Title
Synchronization conditions for Lyapunov oscillators
Abstract
Synchronization of coupled oscillators is an important problem in the analysis and control of coupled dynamical systems. Loosely speaking, oscillators are synchronous if the solutions of all individual oscillators converge towards a common periodic solution. This requirement implies properties on the ω-limit set and the asymptotic phase of the oscillator network. Both properties are barely considered in literature. Here, we consider the class of so called Lyapunov oscillators and derive novel conditions that are sufficient for synchronization of the oscillator networks.
Year
DOI
Venue
2010
10.1109/CDC.2010.5717083
Decision and Control
Keywords
Field
DocType
Lyapunov methods,oscillators,synchronisation,ω-limit set,Lyapunov oscillators,asymptotic phase,coupled dynamical systems,coupled oscillators,synchronization conditions
Lyapunov function,Oscillation,Synchronization,Computer science,Synchronization networks,Control theory,Dynamical systems theory,Exponential stability,Artificial neural network,Periodic graph (geometry)
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Gerd S. Schmidt1364.73
Christian Ebenbauer220030.31
Frank Allgöwer31355152.41