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一类延迟细胞神经网络全局渐近稳定性条件 被引量：1

Global asymptotic stability condition for a class of delayed cellular neural networks
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摘要 通过应用李雅普诺夫函数和矩阵不等式的方法,给出判定一类延迟细胞神经网络平衡点惟一性和全局渐近稳定性的一个充分条件。该条件包含并改进了已有文献中一些结果。 A sufficient condition is obtained for the uniqueness and global asymptotic stability of the equilibrium point for a class of neural networks with constant time delay by using Lyaptmov functionals and combining with matrix inequality technique. The condition contains and improves some of the previous results in the literature.
作者 刘静
机构地区 滨州学院数学与信息科学系 山东大学数学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2009年第4期61-65,共5页 Journal of Shandong University(Natural Science)
基金 滨州学院科研基金资助项目(BZXYKJ0805)
关键词 李雅普诺夫函数 矩阵不等式 全局渐近稳定性 延迟细胞神经网络 Lyapunov functionals matrix inequality global asymptotic stability delayed cellular neural networks
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献8

  • 1张越,薛小平.一类延迟细胞神经网络稳定性条件[J].黑龙江大学自然科学学报,2006,23(3):415-417. 被引量：4
  • 2ARIK S. On the global asymptotic stability of delayed cellular neural networks[J]. IEEE Trans Circuits Syst, 2000, 47( 1 ):571-574.
  • 3LIAO T L, WANG F C. Global stability for cellular neural networks with time delay[J].IEEE Trans Neural Networks, 2000, 11(6): 1481-1484.
  • 4ARIK S. An improved global stability result for delayed cellular neural networks[J]. IEEE Trans Circuits Syst, 2002, 49(1): 1211-1214.
  • 5ARIK S. Stability analysis of delayed neural networks[ J]. IEEE Trans Circuits Syst, 2000, 47(1):1089-1092.
  • 6ARIK S. An analysis of global asymptotic stability of delayed cellular neural networks[J]. IEEE Trans Neural Networks, 2002, 13(5) : 1239-1242.
  • 7CAO J D, Global stability conditions for delayed CNNs[J]. IEEE Trans Circuits Syst, 2001, 48(1):1330-1333.
  • 8曾囡莉,贾伟凤,廖晓昕.具时滞的细胞神经网络的全局稳定性的新定理[J].华中科技大学学报（自然科学版）,2003,31(7):46-48. 被引量：3

二级参考文献10

  • 1Roska T, Boros T, Thiran P. Detecting simple motion using cellular neural networks. Proceedings 1990 IEEE International on Workshop on Cellular Neural Networks and Their Applications, 1990, 9:127--138.
  • 2Sabri Arik. An improved global stability result for delayed cellular neural networks. IEEE Transactions on Circuits and System Ⅰ, 2002, 49(8): 1211--1214.
  • 3Sabri Arik. On the global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Circuits and System Ⅰ, 2000, 47:571-574.
  • 4Liao Teh-Lu, Wang Fong-Chin. Global stability for cellular neural networks with time delay. IEEE Transactions on Neural Networks, 2000, 11(6) : 1481--1484.
  • 5Sabri Arik. An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Neural Networks, 2002, 13(5): 1239--1242.
  • 6Cao J. Global stability conditions for delayed CNNs.IEEE Transactions on Circuits and System Ⅰ, 2001, 48:1330-1333.
  • 7ROSKA T, CHUA L O. Cellular neural networks with nonlinear and delay -type template[ J]. Int J Circuit Theory Appl, 1992, 20:461 -481.
  • 8CAO J. Global sability conditions for delayed CNNs[ J].IEEE Trans Circuits Syst Ⅰ, 2001,48:1330 - 1333.
  • 9ARIK S, TAVSANNOGLU V. On the global asymptotic stability of delayed cellular neural networks [J]. IEEE Trans Circuits Syst Ⅰ, 2000,47:571 -574.
  • 10ZHANG Q, MA R, XU J. Stability of cellular neutral networks with delay[J]. Electronics Letters, 2001, 37:575 -576.

共引文献5

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引证文献1

山东大学学报（理学版）
2009年 第4期

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