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Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control

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  • Jingyi Wang
  • Chen Xu
  • Jianwen Feng
  • Man Kam Kwong
  • Francis Austin

Abstract

This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö’s formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results.

Suggested Citation

  • Jingyi Wang & Chen Xu & Jianwen Feng & Man Kam Kwong & Francis Austin, 2012. "Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
    • Handle: RePEc:hin:jnlaaa:298095
    DOI: 10.1155/2012/298095
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