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具有时变时滞神经网络系统的全局稳定性分析及平衡点位置估计 被引量：3

Global Asymptotic Stability and Estimate of Equilibrium Points of Neural Network with the Time-varying Delay
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摘要 基于M-矩阵理论,在不需要激励函数有界和满足全局Lipschitz条件假设的前提下,讨论一类带有时变时滞神经网络系统的全局渐近稳定性问题及平衡点位置的估计问题,数值仿真表明了结果的有效性. Based on the M-matrix theory, this paper discusses the global asymptotic stability and esti mate of equilibrium points problem for a class of neural network with time-varying delays without de manding the boundedness and globally Lipschita condition of the activation functions. The simulation ex ample is given to illustrate the effectiveness of the results.
作者 邱芳
机构地区 滨州学院数学与信息科学系
出处 《滨州学院学报》 2012年第6期20-26,共7页 Journal of Binzhou University
基金 国家自然科学基金资助项目(10971018) 山东省优秀中青年科学家科研奖励基金项目(BS2010SF001) 山东省高等学校科技计划项目(J09LG58) 滨州学院博士学位人员科研启动费项目(2010Y09)
关键词 时滞神经网络系统 全局稳定性 平衡点 M-矩阵 delayed neural network global asymptotic stability the equilibrium points M-matrix
分类号 O175 [理学—基础数学] TP273 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献11

  • 1周冬明,曹进德,张立明.时滞神经网络全局渐近稳定性条件[J].应用数学和力学,2005,26(3):341-348. 被引量：13
  • 2王占山,张化光,吕化.一类延迟神经网络的全局渐近稳定性[J].东北大学学报（自然科学版）,2006,27(2):123-126. 被引量：8
  • 3张国光,王林山.一类时滞递归神经网络的鲁棒稳定性[J].滨州学院学报,2011,27(3):5-8. 被引量：1
  • 4刘国彩,刘玉常,鞠培军.变时滞神经网络的时滞相关全局渐近稳定新判据[J].山东大学学报（工学版）,2010,40(4):53-56. 被引量：6
  • 5Wu W,Cui B T. Improved sufficient conditions for global asymptotic stability of delayed neuralnetworks[J]. IEEE Trans Ciruits Syst K,2007,54(7) :626 - 630.
  • 6Zhao H Y,Cao J D. New condition for globally exponential stability of cellular networks with delay[J]. neural networks,2005,18 : 1332 - 1340.
  • 7Xu D Y,Zhao H Y. Invariant and attracting sets of hopfield neural networks with delay[J], Inter-national journal of systems science,2001,31 :863 - 866.
  • 8Lu K N,Xu D Y. Global attraction and stability for Cohen-Grossberg neural networks with delays[J]. Networks,2006,19 : 1538 - 1549.
  • 9Berman A,Plemmons R J. Nonnegative Matrices in the Mathematical Sciences[M], New York : Ac-ademic,1979.
  • 10Xu D Y,Xu Z F. Stability analysis of linear delay-differential systems[J], Control Theory and Ad-vanced Technology,1991,7 : 629 - 642.

二级参考文献20

  • 1章毅,虞厥邦,吴跃.Global stability analysis on a class of cellular neural networks[J].Science China(Technological Sciences),2001,44(1):1-11. 被引量：4
  • 2刘德友,张建华,关新平,牛燕影,高娟.时滞细胞神经网络的全局渐近鲁棒稳定性分析[J].系统工程与电子技术,2006,28(6):911-914. 被引量：6
  • 3闵颖颖,刘允刚.Barbalat引理及其在系统稳定性分析中的应用[J].山东大学学报（工学版）,2007,37(1):51-55. 被引量：109
  • 4Arik S.Global asymptotic stability of a larger class of neural networks with constant time delay[J].Physics Letters A,2003,311(4):504-511.
  • 5Lu H.On stability of nonlinear continuous-time neural networks with delays[J].Neural Networks,2000,13(10):1135-1143.
  • 6Cao J,Wang J.Global asymptotic stability of a general class of recurrent neural networks with time-varying delays[J].IEEE Transactions on Circuits and Systems-I,2003,50(1):34-44.
  • 7Huang H,Cao J.On global asymptotic stability of recurrent neural networks with time-varying delays[J].Applied Mathematics and Computation,2003,142(1):143-154.
  • 8Zhang H G,Wang Z S,Liu D R.Exponential stability analysis of neural networks with multiple time delays[J].Lectures Notes in Computer Science,2005,3496:142-148.
  • 9Zhang Q,Wei X,Xu J.Global exponential stability of Hopfield neural networks with continuously distributed delays[J].Physics Letters A,2003,315(3):431-436.
  • 10Bellen A,Guglielmi N,Ruehli A.Methods for linear systems of circuit delay differential equations of neutral type[J].IEEE Transactions on Circuits and Systems-Ⅰ,1999,46(1):212-216.

共引文献21

同被引文献16

  • 1章毅,虞厥邦,吴跃.Global stability analysis on a class of cellular neural networks[J].Science China(Technological Sciences),2001,44(1):1-11. 被引量：4
  • 2周冬明,曹进德,张立明.时滞神经网络全局渐近稳定性条件[J].应用数学和力学,2005,26(3):341-348. 被引量：13
  • 3王占山,张化光,吕化.一类延迟神经网络的全局渐近稳定性[J].东北大学学报（自然科学版）,2006,27(2):123-126. 被引量：8
  • 4Wu Wei, Cui Baotong. Improved sufficient conditions for global asymptotic stability of delayed neural networks[-J. IEEE Trans Circuits Syst II, 2007,54(7) :626-630.
  • 5Chen Tianping, Lu Wenlian. Global asymptotical stability of cohen-grossberg neural networks with time-varying and distributed delays[-J. Lecture Notes on Computer Sciences, 2006,3971:192-197.
  • 6Tan Manchun. Exponential convergence behavior of fuzzy cellular neural networks with distributed delays and time- varying coefficients[J. Iinternational Journal of Bifurcation and Chaos, 2009,19(7):2455.
  • 7Zhao Hongyong, Cao Jinde. New condition for globally exponential stability of cellular neural networks with delay I-J. Neural Networks, 2005,18 : 1332-1340.
  • 8Xu Daoyi, Zhao Hongyong. Invariant and attracting sets of hopfield neural networks with delay[J. International Journal of Systems Science, 2001,31:863-866.
  • 9Lu Kening, Xu Daoyi. Global attraction and stability for cohen-grossberg neural networks with delays[-J. Neural Networks, 2006,19:1538-1549.
  • 10Berman Abraham, Plemmons Robert. Nonnegative Matrices in the Mathematical Sciences[M. New York: Aca- demic, 1979.

引证文献3

二级引证文献3

滨州学院学报
2012年 第6期

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