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Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method

Author

Listed:
  • Hanfeng Kuang
  • Jinbo Liu
  • Xi Chen
  • Jie Mao
  • Linjie He

Abstract

The asymptotic behavior of a class of switched stochastic cellular neural networks (CNNs) with mixed delays (discrete time‐varying delays and distributed time‐varying delays) is investigated in this paper. Employing the average dwell time approach (ADT), stochastic analysis technology, and linear matrix inequalities technique (LMI), some novel sufficient conditions on the issue of asymptotic behavior (the mean‐square ultimate boundedness, the existence of an attractor, and the mean‐square exponential stability) are established. A numerical example is provided to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Hanfeng Kuang & Jinbo Liu & Xi Chen & Jie Mao & Linjie He, 2013. "Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:270791
    DOI: 10.1155/2013/270791
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    References listed on IDEAS

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    1. Yang, Xinsong & Huang, Chuangxia & Zhu, Quanxin, 2011. "Synchronization of switched neural networks with mixed delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 817-826.
    2. Zhao, Hongyong & Ding, Nan & Chen, Ling, 2009. "Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1653-1659.
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