Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time‐Varying Delays

Yi Zhao, Jianwen Feng and Jingyi Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: This paper investigates the cluster synchronization of impulsive complex networks with stochastic perturbation and time‐varying delays. Besides, the nodes in the complex networks are nonidentical. By utilizing the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities (LMI), sufficient conditions are derived to guarantee the cluster synchronization. The numerical simulation is provided to show the effectiveness of the theoretical results.

Date: 2013
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https://doi.org/10.1155/2013/678543

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:678543

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