| 时滞 Hopfield 神经网络的稳定动力学行为分析 |
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| 引用本文： | 李学良,韩江洪,蒋建国.时滞 Hopfield 神经网络的稳定动力学行为分析[J].合肥工业大学学报(自然科学版),1998(2). |
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| 作者姓名： | 李学良 韩江洪 蒋建国 |
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| 基金项目： | 机械工业部高校跨世纪优秀人才基金 |
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| 摘 要： | 神经网络的硬件实现常伴随反馈信号的延时，网络的应用需要对具有时滞反馈网络稳定性的充分研究。用Ｒａｚｕｍｉｋｈｉｎ型李雅普诺夫泛函方法，对非线性时滞Ｈｏｐｆｉｅｌｄ神经网络的稳定动力学行为进行了分析，利用泛函滞后微分方程的稳定性定理，导得时滞反馈连续Ｈｏｐｆｉｅｌｄ神经网络一致稳定和一致渐近稳定的充分判据。
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| 关 键 词： | 时滞 Hopfield神经网络 稳定性 |
STABLE DYNAMICAL ANALYSES FOR NEURAL NETWORK WITH DELAYS |
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| Li Xueliang,Han Jianghong,Jiang Jianguo.STABLE DYNAMICAL ANALYSES FOR NEURAL NETWORK WITH DELAYS[J].Journal of Hefei University of Technology(Natural Science),1998(2). |
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| Authors: | Li Xueliang Han Jianghong Jiang Jianguo |
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| Institution: | Li Xueliang Han Jianghong Jiang Jianguo |
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| Abstract: | The physical implementation of neural network follows delays of feedback signal and the application of network requires the study of the stability.In the paper,by Liapnuov functional methods of Razumikhin type,the stability for nonlinear continuous Hopfield neural network with delays is studied,and several new important theorems guaranteeing the uniform stability and uniform asymptotic stability of the network are derived. |
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| Keywords: | Hopfield neural network delay stability |
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