The Stability of General Neural Network
Zhong Shouming;Li Zhengliang(Dept.of Applied Mathemitics,UEST of China Chengdu 610054)
This paper,studies the problem of the stability for general neural network.By the method of variation of parameters,the method of the Liapunov function and inequality analysis,the authors established sufficient conditions of the global kexponential stability and the global asymptotic stability for the neural network.In particular,the stability theorem for Hpofield model and linear exchange link model is obtained.
【CateGory Index】：
TP18


Chinese Journal Fulltext Database 
7 Hits



1 
Han Zhongming (Department of Mthematics,Leshan Teacher's College,Leshan614004,Sichuan);An analysis of the stability of Hopfield Neural Networks wish Timedelay[J];Journal of Aba Teachers College;200202 
2 
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Zhu Wenli (Dept. of Applied Mathematics, UEST of China Chengdu 610054);Stability Analysis of Timedelay Hopfield Neural Networks[J];JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA;200005 
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Li Guihua (CAAC Flying Ｃollege Sichuan Guanghan 618307) Zhong Shouming Jing Ming (Dept. of Applied Mathematics, UEST of China Chengdu 610054);L~2Gain Stability of Neural Networks[J];Journal of University of Electronic Science and Technology of China;200104 
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Chen Zhongzhe (College of Mechamical Electromechanical Eng., UEST of China Chengdu 610054);A Method of Qualitative Analysis of Neural Networks[J];Journal of University of Electronic Science and Technology of China;200203 
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HAN Zhongming (Department of Mathematics, Leshan Teachers college Sichuan Leshan 614004);KStability of General Neural Network WithDelay[J];Journal of University of Electronic Science and Technology of China;200502 
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QIU Ya lin (Department of Mathematics, Longyan Teacher's College, Longyan 364000,Fujian);Stability of a Class of Neural Network Models with Delays[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);200001 



Chinese Journal Fulltext Database 
10 Hits



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Zhang Hua(Dept.of Applied Mathematics,UEST of China,Chengdu,Sichuan;THE CONNECTIVE STABILITY OF THE NEUTRAL DIFFERENTIAL LARGESCALE SYSTEM WITH VARIABLE DELAY[J];Journal of University of Electronic Science and Technology of China;199104 
2 
Qiu Yalin(Dept. of Mathematics Longyan Feacher's College Longyan 364000);Stability of General Neural Network with Timedelay[J];JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA;199905 
3 
Zhu Wenli (Dept. of Applied Mathematics, UEST of China Chengdu 610054);Stability Analysis of Timedelay Hopfield Neural Networks[J];JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA;200005 
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Li Guihua (CAAC Flying Ｃollege Sichuan Guanghan 618307) Zhong Shouming Jing Ming (Dept. of Applied Mathematics, UEST of China Chengdu 610054);L~2Gain Stability of Neural Networks[J];Journal of University of Electronic Science and Technology of China;200104 
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Cao Kecai Zhong Shouming (Dept. of Applied. Mathematic., UEST of China Chengdu 610054);The Stability Conditions of Timevarying and Neural Largescale Systems[J];Journal of University of Electronic Science and Technology of China;200106 
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Cao Kecai Zhong Shouming Liu Bisen (School of Applied Mathematics, UEST of China Chengdu 610054);BIBO and Robust Stabilization for System with TimeDelay and Nonlinear Perturbations[J];Journal of University of Electronic Science and Technology of China;200306 
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Zhong Shouming ;FuYingding(Dept.of Applied Mathematics,UEST of China Chengdu 610054);THE ROBUST STABILIZATION OF UNCERTAIN DISCRETETIME YSTEM WITH DELAY[J];JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA;199405 
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Zhong Shouming;Yang Ye(Dept. of Applied Mathemitics,UEST of China Chengdu 610054);kGlobal Stability of Hopfield Neural Networks[J];JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA;199506 
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ZHANG Yi and ZHONG Shouming(Department of Applied Mathematics,University of Electronic Science and Technology of China· Chengdu, 610054,PRC) WANG Li(Department of Basic Science,Yun Nan Potylechnic· Kunming, 650051,PRC);Global Stability of Neural Networks with Infinite Delay[J];CONTROL THEORY & APPLICATIONS;199802 



Chinese Journal Fulltext Database 
8 Hits



1 
Han Zhongming (Department of Mthematics,Leshan Teacher's College,Leshan614004,Sichuan);An analysis of the stability of Hopfield Neural Networks wish Timedelay[J];Journal of Aba Teachers College;200202 
2 
Li Guihua (CAAC Flying Ｃollege Sichuan Guanghan 618307) Zhong Shouming Jing Ming (Dept. of Applied Mathematics, UEST of China Chengdu 610054);L~2Gain Stability of Neural Networks[J];Journal of University of Electronic Science and Technology of China;200104 
3 
Chen Zhongzhe (College of Mechamical Electromechanical Eng., UEST of China Chengdu 610054);A Method of Qualitative Analysis of Neural Networks[J];Journal of University of Electronic Science and Technology of China;200203 
4 
ZHU Wenli1, ZHANG Jie2 (1.Dept.of Economics Mathematics,SWUFE Chengdu 610000; 2.Sichuan Institute of Light Ind. & Chem.Tech. Sichuan Zigong 643033);Stability Analysis of Periodic Solution of Variable Coefficient and TimeDelay Hopfield Neural Networks[J];Journal of University of Electronic Science and Technology of China;200501 
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HAN Zhongming (Department of Mathematics, Leshan Teachers college Sichuan Leshan 614004);KStability of General Neural Network WithDelay[J];Journal of University of Electronic Science and Technology of China;200502 
6 
CHEN Wenyu 1, LIU Jingbo 1,2, and SUN Shixin1 (1. School of Computer Science and Engineering, University of Electronic Science and Technology of China Chengdu 610054; 2. School of Mathematics and Computer Science, Chongqing Three Gorges University Wanzhou Chongqing 404000);Method for Neural Network Ensemble Based on Analytical Hierarchy Process[J];Journal of University of Electronic Science and Technology of China;200803 
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HAN Zhongming(Department of Mathematics, Leshan Teacher's College, Leshan 614004, Sichuan);KStability of Hopfield Neural Networks with Delays[J];Journal of Sichuan Normal University(Natural Science);200301 
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LI Hong wei (Dept.of Math.,Xinyang Teachers College,Xinyang 464000,China);Global exponential stability of delay Hopfield neural networks[J];Journal of Xinyang Teachers College(Natural Science Edition);200103 
