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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. 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.
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