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多重时变时滞的Cohen-Grossberg神经网络的指数稳定性(英文) 被引量：2

Exponential Stability of Cohen-Grossberg Neural Networkswith Multiple Time-varying Delays
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摘要 研究了多重时变时滞的Cohen Grossberg神经网络的指数稳定性.得到了平衡点存在以及指数稳定的充分条件.这些条件相比前人文章具有限制更少,更容易验证的特点. Exponential stability of the Cohen-Grossberg neural networks with multiple time-varying delays are analyzed. Suffcient conditions for the existence and exponential stability of equilibria of the networks are obtained. These conditions are less restrictive than previously known criteria and can be easily verfied.
作者 徐道义 邓瑾 杨志春 曾永福
机构地区 四川大学数学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2004年第3期511-513,共3页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(10371083)
关键词 神经网络 指数稳定 时滞 neural netwoks exponential stability delay
分类号 O175.13 [理学—基础数学] O231.1 [理学—运筹学与控制论]
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参考文献4

  • 1Wang L, Zou X F. Exponential stability of Cohen-Grossberg neural networks[J ]. Neural Networks, 2002, 15: 415 - 422.
  • 2Xu D Y. Robust stability of uncertain neutral delay-differential systems via difference inequality[J]. Control-Theory and Advanced Technology, 1989, 5(3) :301 - 313.
  • 3Xu D Y. Asymptotic behavior of Hopfield neural networks with delays[J ]. Differential Equations and Dynamical Systems,2001, 9: 353 - 364.
  • 4WangLS, XuDY. Stability for Hopfield neural with timedelay[J]. Joumal of Vibration andcontrol, 2002, 8:13-18.

同被引文献29

  • 1龙述君,向丽.变时滞Hopfield神经网络稳定性分析的非线性测度法[J].四川大学学报（自然科学版）,2007,44(2):249-252. 被引量：1
  • 2Zeng Y F.Exponential stability of Lotka-Volterra with delay[J].J Sichuan Univ:Nat Sci Ed,2005,42(1):38.
  • 3Cao J D,Liang J L.Boundedness and stability for Cohen-Grossberg neural network with time-varying delays[J].J Math Anal Appl,2004,296(2):665.
  • 4Horn R A,Johnson C R.Topics in matrix analysis[M].England:Cambridge University Press,1991.
  • 5Xu D Y,Zhu W,Long S J.Global exponential stability of impulsive integro-differential equation[J].Nonlinear Analysis,2006,64(12):2805.
  • 6Cohen M,Grossberg S.Absolute stability and global pattern formation and parallel memory storage by competitive neural networks[J].IEEE Trans Syst Man Cybernet,1983,13(5):815.
  • 7Hopfield J. Neurons whith graded reponse have collective computational properties like those of two- state neurons[ J ]. Proc Nat Academy Sci, 1984,81:3088 - 3092.
  • 8Zhou Q H, Wan L. Exponential stability of stochastic delayed Hopfield neural networks [ J ]. Appl Math and Comput,2008, 199(1) :84 -89.
  • 9Lu H T, Chung F L, He Z Y. Some sufficient conditions for global exponential stability of delayed Hopfield neural networks[ J ]. Neural Networks ,2004,17:537 - 544.
  • 10Yang D G, Liao X F, Chen Y. New delay dependent global asymptotic stability criteria of delayed Hopfield neural networks[ J]. Nonlinear Anal: RWA, 2008,9 ( 5 ) :1894 - 1904.

引证文献2

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四川大学学报（自然科学版）
2004年 第3期

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