| 一类神经网络稳定性与联想记忆的分析 |
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| 引用本文： | 苗振江,袁保宗.一类神经网络稳定性与联想记忆的分析[J].北京交通大学学报(自然科学版),1993(Z1). |
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| 作者姓名： | 苗振江 袁保宗 |
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| 作者单位： | 北方交通大学信息科学研究所，北方交通大学信息科学研究所 |
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| 摘 要： | 分析了具有代表性的一类神经网络的稳定性与联想记忆问题.首先定义一种新的能量函数,由此分析网络的稳定性,推得了保证网络平衡点是渐近稳定平衡点所满足的条件,从而使网络可用于联想记忆.所得条件与 A.Guez 所得结论对比发现,在某些情况下两者是一致的,在另外一些情况下,两者并不等价.另外,还得到了比 A.Guez 结论更具普遍意义的保证网络运行点为渐近稳定平衡点的有关定理,扩展了 A.Guez 的结论.
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| 关 键 词： | 神经网络 联想记忆 稳定性 模式识别 系统理论 |
Stability and Associative Memory Analysis for a Class of Neural Network |
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| Miao Zhenjiang,Yuan Baozong Institute of Information Science.Stability and Associative Memory Analysis for a Class of Neural Network[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1993(Z1). |
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| Authors: | Miao Zhenjiang Yuan Baozong Institute of Information Science |
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| Institution: | Miao Zhenjiang;Yuan Baozong Institute of Information Science |
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| Abstract: | In this paper,the problems of stability and associative memory for a class of neural network are analyzed.First we introduce a new kind of energy function and then the network's stability is analyzed by means of the new energy function.The conditions guaranteeing asymptotically stable equilibrium are derived so as to use the network for associative memory.By comparing the conditions with A.Guez's conclusion,it can be found that in some cases they are consistent and in other cases they are not equivalent.Furthermore,we ob- tain more generalized theorem and extend A.Guez's conclusion. |
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| Keywords: | neural network associative memory stability pattern recognition system theory |
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