| 具有混合时滞的随机Hopfield神经网络的稳定性分析 |
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| 引用本文： | 吴文娟,刘德友,张静文,刘海涛.具有混合时滞的随机Hopfield神经网络的稳定性分析[J].兰州理工大学学报,2011,37(3):89-93. |
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| 作者姓名： | 吴文娟 刘德友 张静文 刘海涛 |
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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： | 国家自然科学基金(70671088,71071133) |
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| 摘 要： | 讨论一类具有时变离散时滞和多时变分布时滞的随机Hopfield神经网络的均方鲁棒稳定性问题.假定激活函数既不可微也不严格单调,运用Lyapunov-Krasovskii泛函理论、随机分析理论和MATLAB中的LMI工具箱,推出系统渐近稳定的判别准则.最后通过数值例子论证该结果的有效性.
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| 关 键 词： | 随机Hopfield神经网络 时变离散时滞 多时变分布时滞 有界不确定性 |
Stability analysis of stochastic Hopfield neural network with mixed time delays |
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| WU Wen-juan,LIU De-you,ZHANG Jing-wen,LIU Hai-tao.Stability analysis of stochastic Hopfield neural network with mixed time delays[J].Journal of Lanzhou University of Technology,2011,37(3):89-93. |
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| Authors: | WU Wen-juan LIU De-you ZHANG Jing-wen LIU Hai-tao |
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| Institution: | WU Wen-juan,LIU De-you,ZHANG Jing-wen,LIU Hai-tao(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The problem of mean square robust stability of a class of stochastic Hopfield neural network with discrete and multiple distributed time-varying delays was discussed.Assuming there was neither differentiability nor strict monotonicity with the activation function.By using Lyapunov-Krasovskii functional theory,stochastic analysis theory and LMI control toolbox in Matlab,a criterion was derived for discrimination of asymptotic stability of the addressed system.Finally,a numerical example was given to verify t... |
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| Keywords: | stochastic Hopfield neural network discrete time-varying delayed multiple distributed time-varying delays bounded uncertainty |
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