In this paper, we consider the synchronization problem in unidirectional ring networks of chaotic systems with time-delay coupling. Firstly, we introduce the notion of strict semi-dissipativity and show by using the small-gain theorem that the trajectories of coupled systems satisfying the strict semi-dissipativity are bounded. Then we derive a sufficient condition for synchronization of the systems coupled in a unidirectional way by using a stability criterion for delay systems.
|Titel||Proceedings of the 6th EUROMECH Nonlinear Dynamics Conference (ENOC'08) June 30 - July 4, 2008, Saint Petersburg, RUSSIA|
|Plaats van productie||St. Petersburg, Russia|
|Uitgeverij||Institute for Problems of Mechanical Engineering|
|Pagina's||CD-rom 6 pp|
|Status||Gepubliceerd - 2008|