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.
|Title of host publication
|Proceedings of the 6th EUROMECH Nonlinear Dynamics Conference (ENOC'08) June 30 - July 4, 2008, Saint Petersburg, RUSSIA
|Place of Publication
|St. Petersburg, Russia
|Institute for Problems of Mechanical Engineering
|CD-rom 6 pp
|Published - 2008