| 具有非对称权阵的Hopfield连续神经网络的稳定性分析 |
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| 引用本文： | 阮炯. 具有非对称权阵的Hopfield连续神经网络的稳定性分析[J]. 复旦学报(自然科学版), 1992, 31(2): 227-232 |
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| 作者姓名： | 阮炯 |
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| 作者单位： | 复旦大学数学系 |
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| 摘 要： |
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| 关 键 词： | 神经网络 非对称权阵 稳定性 |
A STABLE ANALYSIS OF HOPFIELD''''S CONTINUOUS NEURAL NETWORKS WITH ASYMMETRIC WEIGHTED MATRICES |
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| Ruan Jiong. A STABLE ANALYSIS OF HOPFIELD''''S CONTINUOUS NEURAL NETWORKS WITH ASYMMETRIC WEIGHTED MATRICES[J]. Journal of Fudan University(Natural Science), 1992, 31(2): 227-232 |
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| Authors: | Ruan Jiong |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this papar it is proved that all equilibriums are asymptotic stable attractors for nonlinear continuous Hopfield's neural networks with an asymmetrical weighted matrix, which can be expressed as the product of a positive definite diagonal matrix and a symmetric matrix. To prove this, Lasalle's invariance principle is applied. |
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| Keywords: | stability analysis neural network Lasalle's invariance principle Hopfield neural networks asymmetrical weighted matrix equilibriums of asymptotic stable attractors. |
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