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Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

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  • Zhou, Qiyuan
  • Xiao, Bing
  • Yu, Yuehua
  • Peng, Lequn

Abstract

In this paper, the shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using fixed point theorem, Lyapunov functional method and differential inequality techniques.

Suggested Citation

  • Zhou, Qiyuan & Xiao, Bing & Yu, Yuehua & Peng, Lequn, 2007. "Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 860-866.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:3:p:860-866
    DOI: 10.1016/j.chaos.2006.03.092
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    References listed on IDEAS

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    1. Lu, Junwei & Guo, Yiqian & Xu, Shengyuan, 2006. "Global asymptotic stability analysis for cellular neural networks with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 349-353.
    2. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2006. "Stability analysis for cellular neural networks with variable delays," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 331-336.
    3. Hu, Jin & Zhong, Shouming & Liang, Li, 2006. "Exponential stability analysis of stochastic delayed cellular neural network," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1006-1010.
    4. Zhu, Wenli & Hu, Jin, 2006. "Stability analysis of stochastic delayed cellular neural networks by LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 171-174.
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    Cited by:

    1. Kashkynbayev, Ardak & Cao, Jinde & Suragan, Durvudkhan, 2021. "Global Lagrange stability analysis of retarded SICNNs," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Lan, Heng-you & Cui, Yi-Shun, 2009. "A neural network method for solving a system of linear variational inequalities," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1245-1252.

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