| Cohen-Grossberg神经网络稳定性分析 |
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| 引用本文： | 武怀勤,秦雷杰,石蕊,冯涛,贺丽君.Cohen-Grossberg神经网络稳定性分析[J].辽宁工程技术大学学报(自然科学版),2011,30(3):451-454. |
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| 作者姓名： | 武怀勤 秦雷杰 石蕊 冯涛 贺丽君 |
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| 作者单位： | 燕山大学理学院，河北秦皇岛，066004 |
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| 基金项目： | 中国河北省教育基金资助项目(2009157) |
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| 摘 要： | 为了研究具有逆Lipschitz激励函数的Cohen-Grossberg神经网络的稳定性,应用Brouwer拓扑度性质和线性矩阵不等式技术,探讨了Cohen-Grossberg神经网络的平衡点的存在性及唯一性。通过构造合适的Lyapunov函数和利用Lyapunov对角稳定性矩阵,给出了唯一平衡点全局指数稳定的充分条件。
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| 关 键 词： | 神经网络 Cohen-Grossberg模型 逆Lipschitz函数 Brouwer拓扑度 稳定性分析 |
Stability analysis criterion for Cohen-Grossberg neural networks |
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| WU Huaiqin,QIN Leijie,SHI Rui,FENG Tao,HE Lijun.Stability analysis criterion for Cohen-Grossberg neural networks[J].Journal of Liaoning Technical University (Natural Science Edition),2011,30(3):451-454. |
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| Authors: | WU Huaiqin QIN Leijie SHI Rui FENG Tao HE Lijun |
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| Institution: | QIN Leijie,WU Huaiqin,SHI Rui,FENG Tao,HE Lijun(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The purpose of this study is to present a novel class of Cohen-Grossberg neural networks with inverse-Lipschitz neuron activation functions.By employing the Brouwer degree properties and linear matrix inequality techniques,the existence and uniqueness of equilibrium point for Cohen-Grossberg neural networks are investigated.With the construction of appropriate Lyapunov functions and the application of Lyapunov diagonally stable matrices;this study provides a sufficient condition which is used to check the g... |
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| Keywords: | neural networks Cohen-Grossberg model non-lipschitz functions brouwer degree stability analysis |
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