| 一类带有阈的Hopfield神经网络模型的稳定性分析 |
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| 引用本文： | 舒雅琴,李明,刘建中. 一类带有阈的Hopfield神经网络模型的稳定性分析[J]. 淮阴师范学院学报(自然科学版), 2009, 8(2): 103-107 |
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| 作者姓名： | 舒雅琴 李明 刘建中 |
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| 作者单位： | 兰州大学,数学与统计学院,甘肃,兰州,730000;湖北省利川市清源中学,湖北,利川,445400;湖北省利川市铜锣坝中学,湖北,利川,445400 |
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| 摘 要： | 讨论了一类带有动力阈值及分布时滞的单神经元Hopfield神经网络的全局稳定性,利用同胚映射得到了平衡点存在唯一的充分条件,利用不等式技巧和常数变易法,获得了平衡点全局渐近稳定的充分条件,利用Lyapunov函数得到了该平衡点全局指数稳定的充分条件.
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| 关 键 词： | Hopfield神经网络 稳定性 分布时滞 阈值 Lyapunov函数 |
StabilityAnalysis of a Class of Hopfield Neural Networks under Thresholds |
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| SHU Ya-qin,LI Ming,LIU Jian-zhong. StabilityAnalysis of a Class of Hopfield Neural Networks under Thresholds[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2009, 8(2): 103-107 |
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| Authors: | SHU Ya-qin LI Ming LIU Jian-zhong |
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| Affiliation: | 1.School of Mathematics and Statistics;Lanzhou University;Lanzhou Gansu 730000;China;2.QingYuan Junior High School of Lichuan;Lichuan Hubei 445400;China;3.TongLuoba Junior High School of Lichuan;China |
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| Abstract: | In this paper,we consider global stability of a neuron Hopfield neural networks with distributed delays under thresholds.For a neuron Hopfield neural networks,by using honeomorphic maps,we obtain some sufficient conditions which ensuring the existence and uniqueness of the equilibrium point;by using the technique of inequality and the method of the altering of constant,we obtain some sufficient conditions which ensuring the global asymptotic stability of the equilibrium point;by using Lyapunov functions,we ... |
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| Keywords: | hopfield neural networks stability distributed delays thresholds lyapunov function |
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