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

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  • Xuan Zhou
  • Kui Luo

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.

Suggested Citation

  • Xuan Zhou & Kui Luo, 2014. "Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnddns:835867
    DOI: 10.1155/2014/835867
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    Cited by:

    1. Liu, Lingfeng & Liu, Kui & Xiang, Hongyue & Liu, Qian, 2020. "Pinning impulsive cluster synchronization of complex dynamical network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

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