| 变时滞神经网络模型的全局指数稳定性 |
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| 引用本文： | 常茹,夏茂辉,李冬梅,王德华.变时滞神经网络模型的全局指数稳定性[J].佳木斯大学学报,2009,27(1). |
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| 作者姓名： | 常茹 夏茂辉 李冬梅 王德华 |
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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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| 摘 要： | 研究了一类变时滞的Hopfield型神经网络的全局指数稳定性,在对网络系统施加两个不同的非线性神经元激励函数的条件下,利用M-矩阵的特性,得到了细胞神经网络模型在一定的条件下全局指数稳定的易于判定的充分条件,数值例子说明了本文结果的有效性.
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| 关 键 词： | 神经网络 变时滞 全局指数稳定性 M-矩阵 |
Globally Exponential Stability for Hopfield Neural Networks with Varying Delays |
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| CHANG Ru,XIA Mao-hui,LI Dong-mei,WANG De-hua,.Globally Exponential Stability for Hopfield Neural Networks with Varying Delays[J].Journal of Jiamusi University(Natural Science Edition),2009,27(1). |
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| Authors: | CHANG Ru XIA Mao-hui LI Dong-mei WANG De-hua |
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| Institution: | Yanshan University;Qinhuangdao 066004;China |
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| Abstract: | The main purpose of this paper is to study the globally exponential stability of the equilibrium point for a class of Hopfield neural networks with varying delays.A new sufficient condition for the globally exponential stability of neural networks is obtained by using M-matrix analysis techniques.The condition is easy to check in practice.As an illustration,a numerical example is worked out using the results obtained. |
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| Keywords: | neural networks varying delays globally exponential stability M-matrix |
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