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Exponential stability analysis of stochastic delayed cellular neural network

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  • Hu, Jin
  • Zhong, Shouming
  • Liang, Li

Abstract

In this paper, the stability of stochastic delayed cellular neural networks are studied. Via the Lyapunov function method and some analysis techniques, we obtain some new criteria of exponential 1-stability and mean square exponential stability.

Suggested Citation

  • Hu, Jin & Zhong, Shouming & Liang, Li, 2006. "Exponential stability analysis of stochastic delayed cellular neural network," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1006-1010.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:1006-1010
    DOI: 10.1016/j.chaos.2005.04.067
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    Citations

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    Cited by:

    1. Singh, Vimal, 2007. "On global exponential stability of delayed cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 188-193.
    2. 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.
    3. Wang, Zidong & Lauria, Stanislao & Fang, Jian’an & Liu, Xiaohui, 2007. "Exponential stability of uncertain stochastic neural networks with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 62-72.
    4. Singh, Vimal, 2007. "On global robust stability of interval Hopfield neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1183-1188.
    5. Zhou, Qiyuan & Xiao, Bing & Yu, Yuehua & Peng, Lequn, 2007. "Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 860-866.
    6. Singh, Vimal, 2007. "Novel LMI condition for global robust stability of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 503-508.
    7. Singh, Vimal, 2007. "Some remarks on global asymptotic stability of neural networks with constant time delay," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1720-1724.
    8. Singh, Vimal, 2007. "Global asymptotic stability of neural networks with delay: Comparative evaluation of two criteria," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1187-1190.
    9. Singh, Vimal, 2009. "Novel global robust stability criterion for neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 348-353.
    10. Singh, Vimal, 2007. "LMI approach to the global robust stability of a larger class of neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1927-1934.
    11. Singh, Vimal, 2007. "Simplified approach to the exponential stability of delayed neural networks with time varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 609-616.
    12. Li, Xiaofei & Ding, Deng, 2017. "Mean square exponential stability of stochastic Hopfield neural networks with mixed delays," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 88-96.
    13. Singh, Vimal, 2007. "Global robust stability of delayed neural networks: Estimating upper limit of norm of delayed connection weight matrix," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 259-263.
    14. Zhao, Hongyong & Ding, Nan & Chen, Ling, 2009. "Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1653-1659.
    15. Shu, Huisheng & Wang, Zidong & Lü, Zengwei, 2009. "Global asymptotic stability of uncertain stochastic bi-directional associative memory networks with discrete and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(3), pages 490-505.

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