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| GLOBAL DYNAMICS OF DELAYED BIDIRECTIONAL ASSOCIATIVE MEMORY （BAM） NEURAL NETWORKS | |
| 引用本文： | 周进,刘曾荣,向兰.GLOBAL DYNAMICS OF DELAYED BIDIRECTIONAL ASSOCIATIVE MEMORY （BAM） NEURAL NETWORKS[J].应用数学和力学(英文版),2005,26(3):327-335. |
| 作者姓名： | 周进 刘曾荣 向兰 |
| 作者单位： | Institute of Applied Mathematics，Hebei University of Technology，Tianjin 300130，P.R.China，Institute of Mathematics，Fudan University，Shanghai 200433，P.R.China，Department of Mathematics，Shanghai University，Shanghai 200444，P.R.China，Department of Mathematics，Shanghai University，Shanghai 200444，P.R.China，Department of Physics，Hebei University of Technology，Tianjin 300130，P.R.China |
| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (Nos.60 4740 71，1 0 1 71 0 61 )，thePostdoctoralScienceFoundationofChina (No .2 0 0 40 3 50 1 2 1 )，theScienceFoun dationofEducationCommissionofHebeiProvince (No .2 0 0 3 1 0 3 )，theKey |
| 摘 要： | IntroductionConsiderthebidirectionalassociativememory (BAM )neuralnetworkswithconstanttransmissiondelaysdescribedbyasystemofdelaydifferentialequationsoftheform1,2 ]:dxi(t)dt =-aixi(t) nj=1bijfj(yj(t-σij) ) Ii, i=1 ,2 ,… ,m ,dyj(t)dt =-cjyj(t) mi=1djigi(xi(t-τji) ) Jj, j=1 ,2 ,… ,n ,fort >0 .Thesystem ( 1 )consistsoftwosetsofneurons (orunits)arrangedontwolayers,namely ,I_layerandJ_layer.Inthesystem ( 1 ) ,xi( ·)andyj( ·)denotemembranepotentialoftheithneuronsfromtheI_laye… |
| 关 键 词： | 人工神经网络 Liapunov函数 全局展开稳定性 双向相联存储器 |
| 收稿时间： | 4 July 2003 |
Global dynamics of delayed bidirectional associative memory (BAM) neural networks |
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| Zhou Jin Professor, Doctor,Liu Zeng-rong,Xiang Lan.Global dynamics of delayed bidirectional associative memory (BAM) neural networks[J].Applied Mathematics and Mechanics(English Edition),2005,26(3):327-335. | |
| Authors: | Zhou Jin Professor Doctor Liu Zeng-rong Xiang Lan |
| Institution: | 1. Institute of Applied Mathematics, Hebei University of Technology, Tianjin 300130, P.R.China;Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China;Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China 2. Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China 3. Department of Physics, Hebei University of Technology, Tianjin 300130, P.R. China |
| Abstract: | Without assuming the smoothness,monotonicity and boundedness of the activation functions, some novel criteria on the existence and global exponential stability of equilibrium point for delayed bidirectional associative memory (BAM) neural networks are established by applying the Liapunov functional methods and matrix_algebraic techniques. It is shown that the new conditions presented in terms of a nonsingular M matrix described by the networks parameters,the connection matrix and the Lipschitz constant of the activation functions,are not only simple and practical,but also easier to check and less conservative than those imposed by similar results in recent literature. |
| Keywords: | bidirectional associative memory (BAM) neural network global exponential stability Liapunov function |
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