| 基于图论的离散Hopfield网络稳定性研究 |
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| 引用本文： | 马润年,杨友社.基于图论的离散Hopfield网络稳定性研究[J].空军工程大学学报,2002,3(1):78-80. |
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| 作者姓名： | 马润年 杨友社 |
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| 作者单位： | 空军工程大学电讯工程学院 陕西西安710077
(马润年)，空军工程大学电讯工程学院 陕西西安710077(杨友社) |
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| 摘 要： | 以图论为工具，主要对连接权矩阵为对角分块形式的离散Hopfield神经网络的稳定性进行了研究。通过构造网络状态图证明了它的稳定性完全可由对角块为连接权矩阵的Hopfield网络的稳定性来确定，并给出了几个相应的结果。
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| 关 键 词： | 离散Hopfield神经网络 稳定性 图论 网络状态图 |
| 文章编号： | 1009-3516(2002)01-0078-03 |
| 修稿时间： | 2001年4月16日 |
The Stability Study of Discrete Hopfield Networks Based on Graph Theory |
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| MA Run-nian,YANG You-she.The Stability Study of Discrete Hopfield Networks Based on Graph Theory[J].Journal of Air Force Engineering University(Natural Science Edition),2002,3(1):78-80. |
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| Authors: | MA Run-nian YANG You-she |
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| Abstract: | With the aid of graph theory, the stability of discrete Hopfield neural networks with diagonal block matrix of the connection weight matrix is mainly studied in this paper. By constructing state graph of the networks, it is proved that the stability is fully determined by the stability of discrete Hopfield networks with the diagonal block as the connection weight matrix. In addition, several results are given. |
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| Keywords: | discrete Hopfield neural networks stability graph theory state graph of the network |
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