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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:298095
    DOI: 10.1155/2012/298095
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    References listed on IDEAS

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    2. 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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