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Globally exponential stability and periodic solutions of CNNS with variable coefficients and variable delays

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  • Liu, Haifei
  • Wang, Li

Abstract

In this Letter, by using the inequality method and the Lyapunov functional method, we analyze the globally exponential stability and the existence of periodic solutions of a class of cellular neutral networks with delays and variable coefficients. Some simple and new sufficient conditions ensuring the existence and uniqueness of globally exponential stability of periodic solutions for cellular neutral networks with variable coefficients and delays are obtained. In addition, one example is also worked out to illustrate our theory.

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  • Liu, Haifei & Wang, Li, 2006. "Globally exponential stability and periodic solutions of CNNS with variable coefficients and variable delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1137-1141.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1137-1141
    DOI: 10.1016/j.chaos.2005.08.120
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    Cited by:

    1. Singh, Vimal, 2007. "On global robust stability of interval Hopfield neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1183-1188.
    2. Yu, Jiali & Yi, Zhang & Zhang, Lei, 2009. "Periodicity of a class of nonlinear fuzzy systems with delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1343-1351.

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