| 离散Hopfield神经网络的异步渐近行为 |
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| 引用本文： | 马润年,王超,许进.离散Hopfield神经网络的异步渐近行为[J].系统工程与电子技术,2002,24(8):81-85. |
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| 作者姓名： | 马润年 王超 许进 |
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| 作者单位： | 1. 西安电子科技大学电子工程研究所,陕西,西安,710071
2. 华中科技大学系统科学研究所,湖北,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助课题 (699710 0 18，2 0 0 710 0 2 6) |
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| 摘 要： | 主要研究非对称离散Hopfield神经网络和带有延迟项的非对称离散Hopfield神经网络的异步渐近行为。提出了异步演化的网络状态图和网络状态图的洞的概念 ,研究了网络状态图的洞和神经网络的异步稳定性之间的关系。给出了非对称离散Hopfield网络的异步稳定条件和不稳定条件以及某些特殊情况下的网络状态图的结构。同时 ,也得到了非对称延迟离散Hopfield网络的异步收敛性条件。所获结果推广了一些已有的结论。
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| 关 键 词： | 离散Hopfield神经网络 网络状态图 稳定性 |
| 文章编号： | 1001-506X(2002)08-0081-05 |
| 修稿时间： | 2001年6月18日 |
Asymptotic Behavior of Asymmetric Discrete Hopfield Neural Networks in Serial Mode |
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| MA Run nian\,WANG Chao\,XU Jin\.Asymptotic Behavior of Asymmetric Discrete Hopfield Neural Networks in Serial Mode[J].System Engineering and Electronics,2002,24(8):81-85. |
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| Authors: | MA Run nian\ WANG Chao\ XU Jin\ |
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| Institution: | MA Run nian\+1,WANG Chao\+1,XU Jin\+2 |
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| Abstract: | The asymptotic behavior of asymmetric discrete Hopfield neural networks and delay asymmetric discrete Hopfield neural networks is mainly studied in serial updating mode. The notation of the network state graph and its hole are presented in serial updating mode, and the relation between the hole and the stability of neural network is investigated. The stability and instability conditions of asymmetric discrete Hopfield neural networks are given in serial mode, and the structure of the network state graph is given in some special cases. Also, the convergence conditions of delayasymmetric discrete Hopfield neural networks with delay are gained in serial mode. The obtained results generalize some existing conclusions. |
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| Keywords: | Discrete Hopfield neural network Network state graph Stability |
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