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Global exponential stability conditions for generalized state-space systems with time-varying delays

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  • Yu, Ker-Wei
  • Lien, Chang-Hua

Abstract

A unified approach is proposed to deal with the exponential stability for generalized state-space systems with time-varying delays. Many systems models can be regarded as special cases of the considered systems; such as neutral time-delay systems and delayed cellular neural networks. Delay-dependent stability criteria are proposed to guarantee the global exponential stability for generalized state-space systems with two cases of uncertainties. Two numerical examples are given to show the effectiveness of our method.

Suggested Citation

  • Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Global exponential stability conditions for generalized state-space systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 920-927.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:920-927
    DOI: 10.1016/j.chaos.2006.07.008
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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. 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.
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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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