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Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay

Author

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  • Chen Xu
  • Jingyi Wang
  • Jianwen Feng
  • Yi Zhao

Abstract

The synchronization problem of stochastic complex networks with Markovian switching and time-varying delays is investigated by using impulsive pinning control scheme. The complex network possesses noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for synchronization are obtained by employing the Lyapunov-Krasovskii functional method, Itö's formula, and the linear matrix inequality (LMI). Numerical examples are also given to demonstrate the validity of the theoretical results.

Suggested Citation

  • Chen Xu & Jingyi Wang & Jianwen Feng & Yi Zhao, 2013. "Impulsive Pinning Markovian Switching Stochastic Complex Networks with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, August.
    • Handle: RePEc:hin:jnlmpe:461924
    DOI: 10.1155/2013/461924
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