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《应用数学和力学(英文版)》 2002-01
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STABILITY ANALYSIS OF HOPFIELD NEURAL NETWORKS WITH TIME DELAY

WANG Lin_shan XU Dao_yi (Mathematics College, Sichuan University, Chengdu 610064, P R China) (Communicated by LI Ji_bin)  
The global asymptotic stability for Hopfield neural networks with time delay was investigated. A theorem and two corollaries were obtained, in which the boundedness and differentiability of f j on R in some articles were deleted. Some sufficient conditions for the existence of global asymptotic stable equilibrium of the networks in this paper are better than the sufficient conditions in quoted articles.
【Fund】: theNaturalScienceFoundationofChina( 1 983 1 0 3 0 )
【CateGory Index】: TP183
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【References】
Chinese Journal Full-text Database 3 Hits
1 LIAO Xiaoxin1 1 Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074;Talking on the theory,methods and application of Lyapunov stability[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2009-01
2 WANG Lin-shan~(1)) XU Dao-yi~(2)) (1) School of Mathematics Science, Liaocheng University, Liaocheng 252059, China; 2) Mathematical School, Sichuan University,Chengdu 610064,China);Asymptotic Behavior of Differentiable Dynamical Systems and Application in Neural Networks[J];Journal of Liaocheng Teachers College(Natural Science Edition);2004-02
3 MING Qing-he YANG Yan-ping KAO Yong-gui(Zaozhuang University,Zaozhuang,277160,China);Global exponential robust stability of Hopfield neural networks with reaction-diffusion trems and S-type distributed delays[J];Journal of Yunnan Normal University(Natural Sciences Edition);2010-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Feng-jian ZHANG Chao-long WU Dong-qing CHEN Xin-ming (Department of Mathematics,Zhongkai Agrotechnical University,Guangzhou 510225,China);Global exponential stability of Hopfield neural networks with delays[J];Pure and Applied Mathematics;2008-01
2 YANG Feng-jian,ZHANG Chao-long,Wu Dong-qing,YANG Jian-fu,CHEN Xin-ming(Computational Science Department of Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China);Global Stability of Neural Networks with Delays and Impulses[J];College Mathematics;2010-01
3 CAO Jinde Department of Applied Mathematics, Southeast University, Nanjing 210096, China; Adult Education College, Yunnan University, Kunming 650091, China;Exponential stability and periodic solutions of delayed cellular neural networks[J];中国科学(E辑:技术科学)(英文版);2000-03
4 Zhang Jiye Wu Pingbo Dai Huanyun (Traction Power National Laboratory, Southwest Jiaotong University, Chengdu 610031);GLOBAL STABILITY IN HOPFIELD NEURAL NETWORKS WITH DISTRIBUTED TIME DELAYS[J];电子科学学刊(英文版);2001-02
5 Chen Wanyi(School of Mathematical Science,Nankai University,Tianjin 300071,China);Globally Exponential Asymptotic Stability of Hopfield Neural Network with Time-varying Delays[J];Acta Scientiarun Naturaltium Universitatis Nankaiensis;2005-05
6 LIU Xiao-qun ( School of Economics and Commerce , South China University of Technology , Guangzhou 510006 , China );Asymptotic stability of delayed cellular neural networks[J];Computer Engineering & Science;2013-07
7 Zhou Dongming (Department of In formation and Electronic Science, Yunnan University, Kunming 650091) Cao Jinde (Adult Education College, Yunnan University, Kunming 650091);Stability Analysis of Neural Networks with Continuously Distributed Delays[J];JOURNAL OF BIOMATHEMATICS;1999-02
8 SONG Qian-kun (Department of Mathematics, Huzhou Teachers College, Huzhou Zhejiang 313000 China);Global Exponential Stability of Cellular Neural Networks with Time Delay[J];Journal of Biomathematics;2003-04
9 Fang Hui (Dept. of Math., Kunming University of Science and Technology, Kunming 650051);PERIODIC SOLUTIONS AND STABILITY ANALYSIS FOR NEURAL NETWORKS WITH TIME-VARYING DELAY[J];微分方程年刊(英文版);2001-04
10 Feng-jian Yang Chao-long Zhang Chuan-yong Chen Xin-ming Chen Department of Computational Science,Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China;Global Exponential Stability of a Class of Neural Networks with Delays[J];应用数学学报(英文版);2009-01
China Proceedings of conference Full-text Database 1 Hits
1 ;变系数分布DCNNS的全局稳定性研究[A];[C];2008
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 YU Wensheng\ HUANG Lin (Department of Mechanics and Engineering Science,Peking University,Beijing,100871);Robust Oscillation Analysis for a Family of Polynomials[J];ACTA SCICENTIARUM NATURALUM UNIVERSITIS PEKINESIS;1997-05
2 Gan Zuoxin\ \ Ge Weigao (Department of Applied Mathmatics, Beijing Institute of Technology, Beijing100081);Absolute Stability of General Lurie Type of Discrete Control Systems[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;1999-03
3 ZHOU Tian-shou1,HU Chang-chun2(1.School of Mathematics and Computational Science,Sun Yet-Sen University,Guangzhou 510275;2.College of Jiangxi Engineering Professions,Nanchang 330025,China);Three Classes of Gene Oscillators and Their Basic Dynamics[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
4 WANG Lin shan(Mathematical College, Sichuan University, chengdu 610064, China; Department of Mathematcs, Liaocheng Normal University, Liaocheng 252029, China);Equiboundedness of matrix differential equations[J];PURE AND APPLIED MATHEMATICS;1999-03
5 LIAO Xiao xin 1,XIAO Dong mei 2(1 Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China; 2 Department of Mathematics,Huazhong Normal University,Wuhan 430074,China);Globally Exponential Stability of Hopfield Neural Networks with Time varying Delays[J];ACTA ELECTRONICA SINICA;2000-04
6 WANG Zhan-shan1,ZHANG Hua-guang1,YU Wen2,ZHANG Qing-Ling3 (1.School of Information Science and Engineering,Northeastern University,Shenyang,Liaoning 110004,China;2.Departamento de Control Automatico,CINVESTAV-IPN,Mexico,07360;3.Institute of Systems Science,Northeastern University,Shenyang,Liaoning 110004,China);An LMI Approach to Robust Stability Analysis of Cohen-Grossberg Neural Networks with Time Varying Delay[J];Acta Electronica Sinica;2008-11
7 Liao Xiaoxin Wang Xiaojun Fu Yuli Shen Yi (Dept. of Auto. Control,Huazhong University of Science and Technology,Wuhan 430074);ON THEORETICAL BASIS OF CELLULAR NEURAL NETWORKS[J];;1998-05
8 Zhang Wei(Dept. of Math.,Huazhong Normal University);The Simplification of Popov's Frequency Criterion[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1994-01
9 NIU Jian\|ren, XU Dao\|yi, ZHANG Zi\|fang(Dept.of Math.,Sichuan Univ.,Chengdu 610064,China) \;;Invariant set and attractivity of a class of partial differential equations with time delay[J];Applied Mathematics A Journal of Chinese Universities;2003-03
10 Wang Guorong;Absolute Stability of the Direct Control System[J];;1981-03
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 LUO Qi 1 , LIAO XiaoXin 2 & ZENG ZhiGang 2 1 College of Information and Control, Nanjing University of Information Science and Technology, Nanjing 210044, China; 2 Department of Control Science and Engineering, Huazhong University of Science and Technology, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Wuhan 430074, China;Sufficient and necessary conditions for Lyapunov stability of Lorenz system and their application[J];中国科学:信息科学(英文版);2010-08
2 DING Feng1 1 School of Internet of Things Engineering,Jiangnan University,Wuxi 214122;Stochastic gradient estimation algorithm for multiple-input systems based on the output estimation[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2010-06
3 DING Feng1 1 School of Internet of Things Engineering,Jiangnan University,Wuxi 214122;System identifcation. Part A:Introduction to the identification[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2011-01
4 DING Feng1,2 1 School of Internet of Things Engineering,Jiangnan University,Wuxi 214122 2 Control Science and Engineering Research Center,Jiangnan University,Wuxi 214122;System identification.Part B: Basic models for system description[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2011-02
5 DING Feng1,2 1 School of Internet of Things Engineering,Jiangnan University,Wuxi 214122 2 Control Science and Engineering Research Center,Jiangnan University,Wuxi 214122;System identification.Part C:Identification accuracy and basic problems[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2011-03
6 DING Feng1,2,3 1 School of Internet of Things Engineering,Jiangnan University,Wuxi 214122 2 Control Science and Engineering Research Center,Jiangnan University,Wuxi 214122 3 Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Jiangnan University,Wuxi 214122;System identification.Part D:Auxiliary model identification idea and methods[J];Journal of Nanjing University of Information Science & Technology(Natural Science Edition);2011-04
7 SUN Xiao-qi WANG Lin-shan (Department of Mathematics,Ocean University of China,Qingdao 266100,China);Co-Stability of Recurrent Neural Networks with Variable Delays[J];Journal of Liaocheng University(Natural Science Edition);2010-04
8 ZHANG Wei WANG Lin-shan(School of Mathematical Science,Ocean University of China,Qingdao 266100,China);P-Order Boundedness and P-Order Global Exponential Stability for a Class of Static Recurrent Neural Networks with Reaction-diffusion and Time-varying Dealys[J];Journal of Liaocheng University(Natural Science Edition);2012-01
9 ZHOU Fang1,WANG Zhongyou2,ZHOU Guopeng3,ZHEN Fangxiong1(1.Department of Mathematics,Xianning University,Xianning 437100,China;2.Department of Computer,Xianning University,Xianning 437100,China;3.Department of Electronics and Information Engineering,Xianning University,Xianning 437100,China);Synchronization of Two Unsmooth Chua's Circuits[J];Mathematica Applicata;2012-02
10 SONG Ze-yang1 LI Xue-chuang2 QI Wen-yu3 LONG Yin-shui4(1 School of Resource and Safety Engineering,China University of Mining and Technology(Beijing),Beijing 100083,China 2 Third Engineering Co.Ltd.,First Highway Engineering Bureau,Beijing 101102,China 3 Xin'an Coal Mine,Henan Dayou Energy Company Limited,Luoyang Henan 471842,China 4 Qianqiu Coal Mine,Henan Dayou Energy Company Limited,Sanmenxia Henan 472300,China);An Approach for Quantificational Determination of Mine Ventilation Stability[J];China Safety Science Journal;2011-09
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