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Exponential Synchronization of Stochastic Complex Dynamical Networks with Impulsive Perturbations and Markovian Switching

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  • Wuneng Zhou
  • Anding Dai
  • Dongbing Tong
  • Jun Yang

Abstract

This paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbation and Markovian switching. The complex dynamical networks consist of κ modes, and the networks switch from one mode to another according to a Markovian chain with known transition probability. Based on the Lyapunov function method and stochastic analysis, by employing M -matrix approach, some sufficient conditions are presented to ensure the exponential synchronization of stochastic complex dynamical networks with impulsive perturbation and Markovian switching, and the upper bound of impulsive gain is evaluated. At the end of this paper, two numerical examples are included to show the effectiveness of our results.

Suggested Citation

  • Wuneng Zhou & Anding Dai & Dongbing Tong & Jun Yang, 2014. "Exponential Synchronization of Stochastic Complex Dynamical Networks with Impulsive Perturbations and Markovian Switching," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:927858
    DOI: 10.1155/2014/927858
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