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Global Synchronization of Neutral‐Type Stochastic Delayed Complex Networks

Author

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  • Ya Zhang
  • Bo Song
  • Ju H. Park
  • Zheng-Guang Wu

Abstract

This paper is concerned with the delay‐dependent synchronization criterion for neutral‐type stochastic delayed complex networks. Firstly, expectations of stochastic crossterms containing the Itô integral are investigated. In fact, for stochastic delay systems, if we want to obtain the delay‐dependent condition with less conservatism, how to deal with expectations of stochastic cross terms properly is of vital importance, and many existing results did not deal with expectations of these stochastic cross terms correctly. Then, based on this, this paper establishes a novel delay‐dependent synchronization criterion for neutral‐type stochastic delayed complex networks. In the derivation process, the mathematical development avoids bounding stochastic cross terms. Thus, this method shows less conservatism. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Ya Zhang & Bo Song & Ju H. Park & Zheng-Guang Wu, 2012. "Global Synchronization of Neutral‐Type Stochastic Delayed Complex Networks," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:631932
    DOI: 10.1155/2012/631932
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    References listed on IDEAS

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    1. Dai, Yang & Cai, Yunze & Xu, Xiaoming, 2008. "Synchronization criteria for complex dynamical networks with neutral-type coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4673-4682.
    2. Cao, Jinde & Wang, Zidong & Sun, Yonghui, 2007. "Synchronization in an array of linearly stochastically coupled networks with time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 718-728.
    3. 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.
    4. 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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    Cited by:

    1. Shi Miao & Li Junmin, 2013. "Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral‐Type Coupling," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Zeynep Orman & Sabri Arik, 2013. "An Analysis of Stability of a Class of Neutral‐Type Neural Networks with Discrete Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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