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Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays

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  • Zhang, Qiang
  • Wei, Xiaopeng
  • Xu, Jin

Abstract

Delay-dependent exponential stability of non-autonomous cellular neural networks with delays is considered in this paper. Based on the differential inequality technique as well as a fact about Young inequality, some new sufficient conditions are given for global exponential stability of non-autonomous cellular neural networks with delays. The conditions rely on the size of time-delay. Since the results presented here do not require the differentiability of variable delay, they are less conservative than those established in the earlier references. An example is given to illustrate the applicability of these conditions.

Suggested Citation

  • Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2008. "Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 985-990.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:985-990
    DOI: 10.1016/j.chaos.2006.07.034
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    References listed on IDEAS

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    1. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "On global exponential stability of nonautonomous delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 965-970.
    2. 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.
    3. 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.
    4. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1363-1369.
    5. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "New stability conditions for neural networks with constant and variable delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1391-1398.
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    Cited by:

    1. Senan, Sibel & Arik, Sabri, 2009. "New results for global robust stability of bidirectional associative memory neural networks with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2106-2114.

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