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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:678543
    DOI: 10.1155/2013/678543
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    References listed on IDEAS

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    1. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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    4. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
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