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Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms

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Abstract

In this paper, the problem of exponential synchronization is investigated for a class of stochastic perturbed chaotic neural networks with both mixed time delays and reaction–diffusion terms. By employing Lyapunov–Krasovskii functional and stochastic analysis approaches, an adaptive controller is designed to guarantee the exponential synchronization of proposed neural networks in the mean square. In particular, the mixed time delays in this paper synchronously consist of constant delay in the leakage term (i.e., “leakage delay”), discrete time-varying delay and distributed time-varying delay which are more general than those discussed in the previous literature. Furthermore, our synchronization criteria are easily verified and do not need to solve any linear matrix inequality. Therefore, the results obtained in this paper generalize and improve those given in the previous literature. Finally, the extensive simulations are performed to show the effectiveness and feasibility of the obtained method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 10671209, 11071254).

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  1. Department of Basic Science, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, P.R. China

    Qintao Gan

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Gan, Q. Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms. Nonlinear Dyn 69, 2207–2219 (2012). https://doi.org/10.1007/s11071-012-0420-4

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