Synchronization of Chaotic Delayed Neural Networks via Sampled-Data Feedback Control with Stochastic Sampling
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This paper deals with the synchronization of chaotic delayed neural networks via sampled-data feedback control with multiple stochastic sampling periods, whose occurrence probabilities are given constants. For the simplicity of technical development, the case with two stochastic sampling periods is considered. By means of the input-delay approach to sampled-data systems, the synchronization error system is represented as a stochastic continuous time system with multiple delays. A mean-square asymptotic stability condition for the synchronization error system is derived via a discretised Lyapunov-Krasovskii function method. The sampled-data feedback controller design is formulated via linear matrix inequalities based convex optimization problems, which can be efficiently solved via standard numerical software. A numerical example illustrates the efficiency of the proposed method.
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