Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control

Xuan Zhou and Kui Luo

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-9

Abstract:

This paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional, Itö’s formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization. At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:835867

DOI: 10.1155/2014/835867

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