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Zbl 1198.34090
Yang, Xinsong; Cao, Jinde
Adaptive pinning synchronization of complex networks with stochastic perturbations.
(English)
[J] Discrete Dyn. Nat. Soc. 2010, Article ID 416182, 21 p. (2010). ISSN 1026-0226; ISSN 1607-887X/e

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.
MSC 2000:
*34D06
90B10 Flows in networks
34K50 Stochastic delay equations
92B20 General theory of neural networks
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