| 时间离散Hopfield神经网络系统的若干问题 |
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| 引用本文： | 沈世镒. 时间离散Hopfield神经网络系统的若干问题[J]. 高校应用数学学报(A辑), 1999, 14(1): 110-116 |
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| 作者姓名： | 沈世镒 |
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| 作者单位： | 南开大学数学科学学院 |
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| 基金项目： | 国家自然科学基金,国家教委博士点基金,金融数学重大项目,国家攀登计划认知科学（神经网络）重大关键项目 |
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| 摘 要： | 如果一个Ｈｏｐｆｉｅｌｄ神经网络系统是时间离散，状态连续的，就 为时间离散的ＨＮＮＳ，对这种系统，如果在它的算子的作用下，状态的能量函数具有固定的增，减趋势，那私就称之为单向的ＴＤ－ＨＮＮＳ。
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| 关 键 词： | 时间离散 神经网络 TD－HNNS HNNS 运动轨迹 |
SOME PROBLEMS OF THE TIME DISCRETE HOPFIELD JZ]NEURAL NETWORK SYSTEM |
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| Shen Shiyi. SOME PROBLEMS OF THE TIME DISCRETE HOPFIELD JZ]NEURAL NETWORK SYSTEM[J]. Applied Mathematics A Journal of Chinese Universities, 1999, 14(1): 110-116 |
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| Authors: | Shen Shiyi |
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| Abstract: | A Hopfield neural network system (HNNS) is said to be the time discrete HNNS (TD HNNS),if it is time discrete and state continuous.A TD HNNS is said to be unilateral,if its energy functions are monotone increasing or monotone decreasing for the HNNS operator.In this paper, a sequence of properties for the unilateral TD HNNS such as the stability of motion,convergence,and the unicity of the stable solution,etc. are obtained.And some applications in the optimizing calculation are given. |
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| Keywords: | Time Discrete Hopfield Neural Network System (TD HNNS) Stability Convergence and Unicity of the Stable Solution for the Motion Locus Optimizing Calculation. |
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