Advances in Differential Equations and Control Processes
Volume 7, Issue 1, Pages 57 - 63
(February 2011)
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A NEW CRITERION FOR THE STABILITY OF COMPLETE SYNCHRONIZATION IN A CLASS OF UNIDIRECTIONAL COUPLED CHAOTIC SYSTEMS
Jiao Jiang and Jianhua Xu
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Abstract: In this paper, the stability of complete synchronization in a class of unidirectional coupled chaotic systems is investigated. A particular Lyapunov functional is constructed in terms of the master-slave system directly, instead of error systems. By means of some similar Lipschitz conditions, a new criterion for the asymptotically stability of complete synchronization motion is obtained. This result can be applied to some systems widely. |
Keywords and phrases: synchronization, Lyapunov functional, Lipschitz condition. |
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