| Hopfield型神经网络的全局指数稳定性(英文) |
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| 引用本文： | 叶华文,黄元清.Hopfield型神经网络的全局指数稳定性(英文)[J].电子科技大学学报(社会科学版),2000(1). |
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| 作者姓名： | 叶华文 黄元清 |
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| 作者单位： | 电子科技大学应用数学系!成都610054(叶华文)，四川轻化工学院电子系!自贡643033(黄元清) |
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| 基金项目： | 国家自然科学基金!69871005 |
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| 摘 要： | 研究了Ｈｏｐｆｉｅｌｄ型神经网络的全局指数稳定性，就活化函数严格单增和严格单增但增益有界的情况，提出了保证网络全局指数稳定的充分判据。对活化函数严格单增权矩阵对角稳定的情况，以简约的形式，给出网络全局指数稳定的收敛速率。
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| 关 键 词： | 全局指数稳定 对角稳定 李雅普若夫函数 矩阵测度 |
Global Exponentially Stability of Hopfield Neural Networks |
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| Ye Huawen.Global Exponentially Stability of Hopfield Neural Networks[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2000(1). |
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| Authors: | Ye Huawen |
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| Abstract: | In this paper, the stability of Hopfield neural networks is investigated. Under two different circumstances, with activation functions being strictly increased and activation functions being strictly increased but their gains being limited, this paper put forth the criteria that ensure the global exponential stability of networks. As to the networks whose activation functions are strictly increased and whose neuron connection matrix T is diagonal stable, the exponential convergence rate is given. |
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| Keywords: | global exponential stability diagonal stable matrix Lyapunov function matrix measure |
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