Abstract:Based on the general application of chaotic synchronization control in many fields,such as secure communication and optimization,the synchronization of a class of drive-response systems is studied in this paper,including exponential synchronization and polynomial synchronization.One kind of cellular neural network with multiple proportional delays is used as the driving system and the other one without the proportional delay is used for the response system.Under the condition that the activation function satisfies the Lipschitz,by designing a proper delay-dependent controller,using the Lyapunov stability theory and some inequality analysis and discussing the stability of the error system,two criteria of the synchronization for the driven response systems are obtained;then two simulations are shown to verify the results.
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