GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

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摘要 In this paper, we implement topological degree theory and Lyapunov-functional methods to obtain the existence and uniqueness of the equilibrium point and its global robust stability for interval Hopfield neural networks with continuously distributed delays. Moreover, the methods used in judging the robust stability are proven practical and easily verifiable. In this paper, we implement topological degree theory and Lyapunov-functional methods to obtain the existence and uniqueness of the equilibrium point and its global robust stability for interval Hopfield neural networks with continuously distributed delays. Moreover, the methods used in judging the robust stability are proven practical and easily verifiable.

作者 Kao Yonggui Gao Cunchen Liu Guanfeng

机构地区 Dept. of Math. Dept. of Math. College of Resources and Environment Engineering

出处《Annals of Differential Equations》 2007年第4期427-432,共6页 微分方程年刊（英文版）

基金 the National Natural Science Foundation of China under grant 60674020 the Natural Science Foundation of Shandong under grant Z2006G11

关键词 global robust stability neural networks distributed delays topological degree global robust stability neural networks distributed delays topological degree

分类号 O189 [理学—基础数学]

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参考文献2

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共引文献12

1周建平,陈红军,王林山.时滞区间静态神经网络的全局鲁棒稳定性[J].聊城大学学报（自然科学版）,2006,19(1):22-24.
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
4考永贵,高存臣.分布时滞竞争神经网络概周期解全局指数稳定性[J].数学的实践与认识,2007,37(23):120-125.
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.
8ZHANG HuaGuang WANG ZhanShan.New delay-dependent criterion for the stability of recurrent neural networks with time-varying delay[J].Science in China(Series F),2009,52(6):942-948. 被引量：1
9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.
10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

1王林山,高玉英.ON GLOBAL ROBUST STABILITY FOR INTERVAL HOPFIELD NEURAL NETWORKS WITH TIME DELAY[J].Annals of Differential Equations,2003,19(3):421-426. 被引量：9
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
3Yan Lv,Wei Lv,Jian-hua Sun.Existence of Positive Periodic Solutions for Nonautonomous Predator-prey Systems with Discrete and Continuously Distributed Delays[J].Acta Mathematicae Applicatae Sinica,2007,23(1):39-48. 被引量：3
4张强.More relaxed condition for dynamics of discrete time delayed Hopfield neural networks[J].Chinese Physics B,2008,17(1):125-128.
5Meng 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
6Junyan Xu College of Math.and Computer Science,Fuzhou University,Fuzhou 350108.EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS TO BAM RECURRENT NEURAL NETWORKS WITH TRANSMISSION DELAYS AND CONTINUOUSLY DISTRIBUTED DELAYS[J].Annals of Differential Equations,2012,28(4):435-444.
7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.
8Xiang Hongjun Wang Jinhua Chen Anping.EXISTENCE AND ATTRACTIVITY OF ALMOST PERIODIC SOLUTION FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS[J].Annals of Differential Equations,2005,21(4):604-615.
9Chunhua 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.
10Guang-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.

Annals of Differential Equations

2007年第4期

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GLOBAL ROBUST STABILITY OF INTERVAL HOPFIELD NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

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