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Global stability of delayed Hopfield neural networks under dynamical thresholds

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  • Fei-Yu Zhang
  • Wan-Tong Li

Abstract

We study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known results in the literature.

Suggested Citation

  • Fei-Yu Zhang & Wan-Tong Li, 2005. "Global stability of delayed Hopfield neural networks under dynamical thresholds," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-17, January.
    • Handle: RePEc:hin:jnddns:235712
    DOI: 10.1155/DDNS.2005.1
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    Cited by:

    1. Chu, Tianguang & Yang, Haifeng, 2007. "A note on exponential convergence of neural networks with unbounded distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1538-1545.
    2. Huang, Zai-Tang & Luo, Xiao-Shu & Yang, Qi-Gui, 2007. "Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 878-885.

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