ON GLOBAL ROBUST STABILITY FOR INTERVAL HOPFIELD NEURAL NETWORKS WITH TIME DELAY 被引量：9

ON GLOBAL ROBUST STABILITY FOR INTERVAL HOPFIELD NEURAL NETWORKS WITH TIME DELAY

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摘要 The theorem obtained by Liao was not true (see [2]). So, this paper presents some criteria of global robust stability for interval Hopfield neural networks with time delay. The methods to judge the robust stability are practical and easily verifiable. The theorem obtained by Liao was not true (see [2]). So, this paper presents some criteria of global robust stability for interval Hopfield neural networks with time delay. The methods to judge the robust stability are practical and easily verifiable.

作者王林山高玉英

机构地区 Dept. of Math. Chemical College

出处《Annals of Differential Equations》 2003年第3期421-426,共6页 微分方程年刊（英文版）

基金 This paper was supported in part by the National Natural Science Foundation of China under Grant 10171072.

关键词 neural networks equilibrium point robust stability topological degree neural networks, equilibrium point, robust stability, topological degree

分类号 O175.13 [理学—基础数学]

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1廖晓昕.细胞神经网络的数学理论(Ⅱ)[J].中国科学（A辑）,1994,24(10):1037-1047. 被引量：56
2卢宏涛,何振亚.带时延的细胞神经网络的无条件稳定性[J].电子学报,1997,25(1):1-4. 被引量：29
3张丽娟,斯力更.变时滞细胞神经网络的全局指数稳定性[J].山东大学学报（理学版）,2007,42(4):58-62. 被引量：2
4Y H SUN,J D CAO, Pth moment exponential stability of stochastic recurrent neural networks with time-varying delays[J].Nonlinear Analysis : Real World Applications,2007,8(4) : 1 171-1 185.
5J HU,S M ZHONG,L LIANG. Exponential stability analysis of stochastic delayed cellular neural network[J]. Chaos,Solitons and Fractals,2006,27(4):1 006-1 010.
6L WAN,J H SUN. Mean square exponential stability of stochastic delayed Hopfield neural networks[J]. Physics Letters A, 2005,343 (4):306-318.
7A FRIEDMAN. Stochastic Differential Equations and Applications[M]. New York: Academic Press, 1976.
8Y R LIU,Z D WANG, X H LIU. Asymptotic stability for neural networks with mixed time-delays:The discrete-time case[J].Neural Networks, 2009,22 ( 1 ):67-74.
9X X LIAO,X MAO. Almost sure exponential stability of stochastic differential equations[J]. Journal of Mathematical Analysis and Application, 1997,212 (2) : 554-570.
10X CHEN, H ZHAO. Stability analysis of stochastic fuzzy cellular neural networks with delays[J]. Neurocomputing, 2008,72(1-3) : 554-570.

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2赵丹丹,王林山.变时滞区间细胞神经网络的全局鲁棒稳定性[J].生物数学学报,2006,21(4):557-563. 被引量：5
3张若军,王林山.S-分布时滞区间细胞神经网络的全局渐近鲁棒稳定性[J].山东大学学报（理学版）,2007,42(2):39-42. 被引量：3
4Kao Yonggui,Gao Cunchen,Liu Guanfeng.GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS[J].Annals of Differential Equations,2007,23(4):427-432.
5陶霓,王林山.一类时滞静态递归神经网络的全局鲁棒稳定性[J].山东大学学报（理学版）,2008,43(3):40-42. 被引量：4
6王顺康,王林山.具有马尔可夫跳跃参数的变时滞静态神经网络的全局指数稳定性[J].山东大学学报（理学版）,2008,43(4):81-84. 被引量：1
7杨艳萍,考永贵.分布时滞静态神经网络全局鲁棒稳定性[J].曲阜师范大学学报（自然科学版）,2009,35(2):47-51.
8刘岩,孙多青,张力超,肖淬艺.随机变时滞递归神经网络的几乎指数稳定性[J].河北科技师范学院学报,2009,23(3):40-43.
9胡宗海,光峰,姚程宽,夏宜凡,朱晔.具有变时滞双向循环关联神经网络的指数稳定性研究[J].兰州工业学院学报,2017,24(2):90-96.

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2易春.混合时滞区间神经网络鲁棒指数稳定性[J].内江师范学院学报,2009,24(2):23-26. 被引量：3
3魏章志,王良龙.一类时滞神经网络模型的稳定性与全局Hopf分支[J].生物数学学报,2009,24(3):484-488. 被引量：6
4李延波,王汝凉.S-分布时滞反应扩散Hopfield神经网络稳定性[J].哈尔滨理工大学学报,2010,15(2):63-66. 被引量：1
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7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
8谌红美,王林山.具有S分布时滞细胞神经网络的全局指数稳定性[J].中国海洋大学学报（自然科学版）,2012,42(3):96-100. 被引量：3
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10张伟伟,王林山.随机时滞细胞神经网络的稳定性分析[J].生物数学学报,2013,28(3):548-552.

1Kao Yonggui,Gao Cunchen,Liu Guanfeng.GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS[J].Annals of Differential Equations,2007,23(4):427-432.
2WANG,Lin-shan(王林山),XU,Dao-yi(徐道义).STABILITY ANALYSIS OF HOPFIELD NEURAL NETWORKS WITH TIME DELAY[J].Applied Mathematics and Mechanics(English Edition),2002,23(1):65-70. 被引量：2
3张强.More relaxed condition for dynamics of discrete time delayed Hopfield neural networks[J].Chinese Physics B,2008,17(1):125-128.
4Meng Lingchang Wang Yangfan Wang Linshan ( Dept. of Math., Ocean University of China, Qingdao 266071,College of Communication Engineering, Ocean University of China, Qingdao 266071).ON GLOBAL ROBUST STABILITY FOR COMPETITIVE NEURAL NETWORKS WITH TIME DELAYS AND DIFFERENT TIME SCALES[J].Annals of Differential Equations,2006,22(3):339-342. 被引量：2
5朱恩文,王勇,邹捷中.Comments and further improvements on “LMI approach for stochastic stability of Markovian jumping Hopfield neural networks with Wiener Process”[J].Journal of Harbin Institute of Technology(New Series),2007,14(6):770-772.
6Chunhua Feng,Meijiao Yu College of Mathematical Science,Guangxi Normal University,Guilin 541004,Guangxi.ON THE EXISTENCE OF POSITIVE ALMOST PERIODIC SOLUTIONS TO AN IMPULSIVE NEURAL NETWORKS WITH DELAY[J].Annals of Differential Equations,2012,28(4):385-391.
7Guang-Deng Zong Jia Liu.New Delay-dependent Global Asymptotic Stability Condition for Hopfield Neural Networks with Time-varying Delays[J].International Journal of Automation and computing,2009,6(4):415-419.
8年晓红.ROBUST STABILITY FOR A TYPE OF UNCERTAIN TIME-DELAY SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2000,21(4):479-484. 被引量：1
9XIONG Liang Lin ZHONG Shou Ming TIAN Jun Kang.The New Criteria Robust Stability of Uncertain Neutral Systems with Discrete and Distributed Delays[J].Journal of Mathematical Research and Exposition,2008,28(3):521-528. 被引量：1
10王勇,于年才.ON ROBUST STABILITY OF A CLASS OF POLYNOMIAL FAMILIES[J].Applied Mathematics and Mechanics(English Edition),1993,14(12):1095-1102.

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ON GLOBAL ROBUST STABILITY FOR INTERVAL HOPFIELD NEURAL NETWORKS WITH TIME DELAY 被引量：9

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