| STABILITY ANALYSIS OF HOPFIELD NEURAL NETWORKS WITH TIME DELAY |
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| 作者姓名： | 王林山 徐道义 |
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| 作者单位： | WANG Lin_shan XU Dao_yi (Mathematics College，Sichuan University，Chengdu 610064，P R China) (Communicated by LI Ji_bin) |
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| 基金项目： | theNaturalScienceFoundationofChina( 1 983 1 0 3 0 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｒｅｃｅｎｔｙｅａｒｓｔｈｅｄｙｎａｍｉｃｂｅｈａｖｉｏｒｏｆｔｈｅｆｏｌｌｏｗｉｎｇＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｓｍｏｄｅｌｗｉｔｈｔｉｍｅｄｅｌａｙｈａｖｅｂｅｅｎｉｎｖｅｓｔｉｇａｔｅｄｔｈｏｒｏｕｇｈｌｙＣｉ ｘｉ(ｔ) =-ｘｉＲｉ + ∑ｎｊ=1Ｔｉｊｆｊ(ｘｊ(ｔ-τｉｊ) ) +Ｉｉ (ｉ=1 ,2 ,… ,ｎ) ,( 1 )ｗｈｅｒｅＲｉ,ＣｉａｎｄＩｉｒｅｐｒｅｓｅｎｔｒｅｓｉｓｔａｎｃｅ ,ｃａｐａｃｉｔａｎｃｅａｎｄｅｌｅｃｔｒｉｃｃｕｒｒｅｎｔ.Ｒｉ,Ｃｉａｒｅｐａ…
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| 收稿时间： | 15 August 2000 |
Stability analysis of Hopfield neural networks with time delay |
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| Wang Lin-shan Professor, Doctor,Xu Dao-yi Professor.STABILITY ANALYSIS OF HOPFIELD NEURAL NETWORKS WITH TIME DELAY[J].Applied Mathematics and Mechanics(English Edition),2002,23(1):65-70. |
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| Authors: | Wang Lin-shan Professor Doctor Xu Dao-yi Professor |
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| Institution: | Mathematics College, Sichuan University, Chengdu 610064, P R China |
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| Abstract: | 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. |
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| Keywords: | neural networks equilibrium stability topological degree |
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