Abstract
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.
Original language | English |
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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 |
Publisher | Institute for Problems of Mechanical Engineering |
Pages | CD-rom 6 pp |
Publication status | Published - 2008 |