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Adaptive pinning synchronization of complex networks with stochastic perturbations. (English) Zbl 1198.34090
Summary: The adaptive pinning synchronization is investigated for complex networks with nondelayed and delayed couplings and vector-form stochastic perturbations. Two kinds of adaptive pinning controllers are designed. Based on an Lyapunov-Krasovskii functional and the stochastic stability analysis theory, several sufficient conditions are developed to guarantee the synchronization of the proposed complex networks even if partial states of the nodes are coupled. Furthermore, three examples with their numerical simulations are employed to show the effectiveness of the theoretical results.

34D06 Synchronization of solutions to ordinary differential equations
90B10 Deterministic network models in operations research
34K50 Stochastic functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
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