| 具有变时滞的Hopfield型神经网络的全局指数稳定性 |
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| 引用本文： | 廖晓昕,肖冬梅.具有变时滞的Hopfield型神经网络的全局指数稳定性[J].电子学报,2000,28(4):87-90. |
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| 作者姓名： | 廖晓昕 肖冬梅 |
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| 作者单位： | 1. 华中理工大学控制科学与工程系,武汉,430074
2. 华中师范大学数学系,武汉,430074 |
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| 基金项目： | 国家自然科学基金!(No .698740 1 6)资助课题，高等学校博士学科点专项基金!(No .970 4 872 2 )资助课题，国家“973项目”!(G1 9980 2 |
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| 摘 要： | 本文利用推广的Halanay时滞微分不等式和Lyapunov函数来研究具有可变时滞的Hopfield型神经网络的平衡状态的全局指数稳定性,得到了不依赖含任何未知函数存在性的简便代数判据,为实际应用提供方便.
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| 关 键 词： | Halanay不等式 神经网络 变时滞 全局指数稳定 |
Globally Exponential Stability of Hopfield Neural Networks with Time-varying Delays |
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| LIAO Xiao-xin,XIAO Dong-mei.Globally Exponential Stability of Hopfield Neural Networks with Time-varying Delays[J].Acta Electronica Sinica,2000,28(4):87-90. |
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| Authors: | LIAO Xiao-xin XIAO Dong-mei |
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| Affiliation: | 1. Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;2. Department of Mathematics,Huazhong Normal University,Wuhan 430074,China |
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| Abstract: | Employing the extended Halanay's delay differential inequality and Lypunov functions,we study globally exponential stability of equilibrium states of Hopfield neural networks with time-varying delays.The results presented here are independent of any unknown function and are the algebraic oriteria entirely,which are obviously easy to be used. |
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| Keywords: | Halanay's inequality neural networks time-varying delay globally exponential stability |
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