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Global exponential stability criterion for uncertain discrete-time cellular neural networks

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  • Sun, Yeong-Jeu

Abstract

This paper deals with the robust stability problem for a class of uncertain discrete-time cellular neural networks (UDTCNNs). A simple criterion is derived to guarantee the global exponential stability (GES) of such networks. A simple method is also proposed to calculate the guaranteed exponential decay rate of such networks. Finally, a numerical example is provided to illustrate the main result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "Global exponential stability criterion for uncertain discrete-time cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2022-2024.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2022-2024
    DOI: 10.1016/j.chaos.2008.08.006
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    References listed on IDEAS

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    1. Xiong, Wanmin & Zhou, Qiyuan & Xiao, Bing & Yu, Yuehua, 2007. "Global exponential stability of cellular neural networks with mixed delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 896-902.
    2. Liu, Bingwen & Huang, Lihong, 2007. "Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 95-103.
    3. Gui, Zhanji & Ge, Weigao, 2007. "Periodic solutions of nonautonomous cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1760-1771.
    4. Li, Yongkun & Xing, Zhiwei, 2007. "Existence and global exponential stability of periodic solution of CNNs with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1686-1693.
    5. Xia, Yonghui & Cao, Jinde & Huang, Zhenkun, 2007. "Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1599-1607.
    6. Chen, Hsin-Chieh & Hung, Yung-Ching & Chen, Chang-Kuo & Liao, Teh-Lu & Chen, Chun-Kuo, 2006. "Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1100-1108.
    7. Park, Ju H., 2007. "An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 800-807.
    8. Cho, Hyun J. & Park, Ju H., 2007. "Novel delay-dependent robust stability criterion of delayed cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1194-1200.
    9. Liu, Bingwen & Huang, Lihong, 2007. "Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 211-217.
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