YANG Zhi-chun, XU Dao-yi. Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1329-1334.
Citation: YANG Zhi-chun, XU Dao-yi. Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1329-1334.

Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects

  • Received Date: 2004-10-30
  • Rev Recd Date: 2006-07-26
  • Publish Date: 2006-11-15
  • A class of Hopfield neural network with time-varying delays and impulsive effects is concerned.Some sufficient conditions ensuring the global exponential stability of impulsive delay neural networks by applying the piecewise continuous vector Lyapunov function were obtained.An example and its simulation are given to illustrate the effectiveness of the results.
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  • [1]
    Marcus C M,Westervelt R M.Stability of analog neural networks with delay[J].Phys Rev A,1989,39(1):347—359. doi: 10.1103/PhysRevA.39.347
    [2]
    Panas A I,Yang T,Chua L O.Experimental results of impulsive synchronization between two Chua's circuits[J].Internat J Bifurcation Chaos Appl Sci Eng,1998,8(3):639—644. doi: 10.1142/S0218127498000437
    [3]
    刘斌,刘新芝,廖晓昕.脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计[J].控制理论与应用,2003,20(2):169—172.
    [4]
    Akca H,Alassar R,Covachev V,et al.Continuous-time additive Hopfield-type neural networks with impulses[J].J Math Anal Appl,2004,290(2):436—451. doi: 10.1016/j.jmaa.2003.10.005
    [5]
    YANG Zhi-chun,XU Dao-yi.Stability analysis of delay neural networks with impulsive effects[J].IEEE Transactions on Circuits and Systems Ⅱ,2005,52(8):517—521. doi: 10.1109/TCSII.2005.849032
    [6]
    GUAN Zhi-hong,CHEN Guan-rong.On delayed impulsive Hopfield neural networks[J].Neural Networks,1999,12(2):273—280. doi: 10.1016/S0893-6080(98)00133-6
    [7]
    Driessche P V D, Zou X F.Global attractivity in delayed Hopfield neural network models[J].SIAM J Appl Math,1998,58(16):1878—1890. doi: 10.1137/S0036139997321219
    [8]
    曹进德,李继彬.具有交互神经传递的神经网络的稳定性[J].应用数学和力学,1998,19(5):425—430.
    [9]
    Mohamad S.Global exponential stability of continuous-time and discrete-time delayed bidi rectional neural networks[J].Phys D,2001,159(3):233—251. doi: 10.1016/S0167-2789(01)00344-X
    [10]
    XU Dao-yi,ZHAO Hong-yong,ZHU Hong. Global dynamics of Hopfield neural networks involving variable delays[J].Computers and Mathematics With Applications,2001,42(1):39—45. doi: 10.1016/S0898-1221(01)00128-6
    [11]
    WANG Lin-shan,XU Dao-yi.Stability for Hopfield neural networks with time delays[J].Journal of Vibration and Control,2002,8(1):13—18. doi: 10.1177/1077546302008001527
    [12]
    王林山,徐道义.Hopfield型时滞神经网络的稳定性分析[J].应用数学和力学,2002,23(1):59—64.
    [13]
    GUO Shang-jiang,HUANG Li-hong.Stability analysis of a delayed Hopfield neural network[J].Phys Rev E,2003,67(6):1—7.
    [14]
    廖晓昕.论Hopfield神经网络中物理参数的数学内蕴[J].中国科学,E辑,2003,33(2):127—136.
    [15]
    Lakshmikantham V,Bainov D D, Simeonov P S.Theory of Impulsive Differential Equations[M].Singapore: World Scientific,1989.
    [16]
    廖晓昕.动力系统的稳定性理论和应用[M].北京: 国防工业出版社,2001,9—14.
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