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Stability of delayed cellular neural networks

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

Abstract

Global asymptotic stability and exponential stability of delayed cellular neural networks is considered in this paper. Based on the Lyapunov stability theorem as well as a fact about the elemental inequality, some new sufficient conditions are given for global asymptotic stability and exponential stability of delayed cellular neural networks. The results are less conservative than those established in the earlier references. Three examples are given to illustrate the applicability of these conditions.

Suggested Citation

  • Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2007. "Stability of delayed cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 514-520.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:2:p:514-520
    DOI: 10.1016/j.chaos.2005.10.003
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    Cited by:

    1. Singh, Vimal, 2009. "Remarks on estimating upper limit of norm of delayed connection weight matrix in the study of global robust stability of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2013-2017.
    2. Hai Zhang & Renyu Ye & Jinde Cao & Ahmed Alsaedi, 2017. "Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses," Complexity, Hindawi, vol. 2017, pages 1-13, September.
    3. Singh, Vimal, 2009. "Novel global robust stability criterion for neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 348-353.
    4. Niu, Ben & Wei, Junjie, 2008. "Stability and bifurcation analysis in an amplitude equation with delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1362-1371.
    5. Dong, Ying & Sun, Chengjun, 2009. "Global existence of periodic solutions in a special neural network model with two delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2249-2257.

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