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Exponential stability of impulsive neural networks with time-varying delays

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  • Huang, Zai-Tang
  • Yang, Qi-Gui
  • Luo, Xiao-shu

Abstract

This paper considers the problems of global exponential stability for impulsive neural networks with time-varying delays, some new criteria ensuring globally exponential stability are obtained. The results obtained impose constraint conditions on the network parameters of neural system independent and are applicable to all continuous non-monotonic neuron activation functions. Compared with the previously reported results in the literature, our results obtained in this paper provide better one more set of criteria for determining the stability of neural networks with time-varying delays. Moreover, two illustrative examples will be given to demonstrate the effectiveness of our results.

Suggested Citation

  • Huang, Zai-Tang & Yang, Qi-Gui & Luo, Xiao-shu, 2008. "Exponential stability of impulsive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 770-780.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:770-780
    DOI: 10.1016/j.chaos.2006.05.089
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    References listed on IDEAS

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    1. Li, Yongkun & Xing, Wenya & Lu, Linghong, 2006. "Existence and global exponential stability of periodic solution of a class of neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 437-445.
    2. Li, Yongkun, 2005. "Global exponential stability of BAM neural networks with delays and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 279-285.
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    Cited by:

    1. Hajihosseini, Amirhossein & Maleki, Farzaneh & Rokni Lamooki, Gholam Reza, 2011. "Bifurcation analysis on a generalized recurrent neural network with two interconnected three-neuron components," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 1004-1019.
    2. Xu, Liguang & Xu, Daoyi, 2009. "Exponential p-stability of impulsive stochastic neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 263-272.
    3. Wang, Xiaohu & Xu, Daoyi, 2009. "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2713-2721.
    4. P. Balasubramaniam & G. Nagamani, 2011. "Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time-Varying Delays and Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 197-215, April.
    5. Luo, Wenpin & Zhong, Shouming & Yang, Jun, 2009. "Global exponential stability of impulsive Cohen–Grossberg neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1084-1091.
    6. Hu, Jiming, 2009. "Synchronization conditions for chaotic nonlinear continuous neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2495-2501.

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