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

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  • Yi Zhao
  • Jianwen Feng
  • Jingyi Wang

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.

Suggested Citation

  • Yi Zhao & Jianwen Feng & Jingyi Wang, 2013. "Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, December.
  • Handle: RePEc:hin:jnljam:678543
    DOI: 10.1155/2013/678543
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    Cited by:

    1. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).

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