Abstract

In this paper, the stochastic synchronization problem is investigated for complex dynamical networks with unknown periodic time-varying couplings and with stochastic noise perturbations. By using Lyapunov stability theory, inequality techniques, the properties of Weiner process and adding suitable controllers, sufficient conditions are obtained to ensure stochastic synchronization for complex dynamical networks. Adaptive periodic learning laws are designed for unknown time-varying coupling parameters. Theoretical analysis and numerical simulation fully verify the main results.

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