XIANG Lan, ZHOU Jin, LIU Zeng-rong, SUN Shu. On the Asymptotic Behavior of Hopfield Neural Network With Periodic Inputs[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1220-1226.
Citation: XIANG Lan, ZHOU Jin, LIU Zeng-rong, SUN Shu. On the Asymptotic Behavior of Hopfield Neural Network With Periodic Inputs[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1220-1226.

On the Asymptotic Behavior of Hopfield Neural Network With Periodic Inputs

  • Received Date: 2001-07-24
  • Rev Recd Date: 2002-04-30
  • Publish Date: 2002-12-15
  • Without assuming the boundedness and differentiability of the nonlinear activation functions, the new sufficient conditions of the existence and the global exponential stability of periodic solutions for Hopfield neural network with periodic inputs are given by using Mawhin's coincidence degree theory and Liapunov's function method.
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  • [1]
    Hopfield J J.Neural networks and physical system with emergent collective computational abilities[J].Proc Nat Academy Sci,1982,79(4):2554-2558.
    [2]
    Hopfield J J.Neurons with graded response have collective computational properties like those of two-state neurons[J].Proc Nat Academy Sci,1984,81(5):3088-3092.
    [3]
    廖晓昕.Hopfield型神经网络的稳定性[J].中国科学,1993,23(10):1025-1035.
    [4]
    梁学斌,吴立德.Hopfield型神经网络的全局指数稳定性[J].中国科学,1995,25(5):523-532.
    [5]
    Guan Z H,Chen G.On the equilibria,stability and instability of Hopfield neural networks[J].IEEE Trans Neural Networks,2000,11(2):534-539.
    [6]
    李铁成,王铎.一类带有周期输入的人工神经网络的渐近性质[J].高校应用数学学报,A辑,1997,12(1):25-28.
    [7]
    黄先开.具有时滞的Hopfield型神经网络的平稳周期振荡[J].应用数学和力学,1999,20(10):1040-1045.
    [8]
    Gao J.Periodic oscillation and exponential stability of delayed CNN[J].Physic Letter A,2000,270(3/4):157-163.
    [9]
    Gain R E,Mawhin J L.Coincidence Degree and Nonlinear Differential Equations[M].Lecture Note in Math,567,Berlin:Springer-Verlag,1977,40-41.
    [10]
    Yoshizawa T.Stability Theory by Liapunov's Second Method[M].Tokyo:The Math Soc of Japan,1996,165-169.
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