| 一类具有时滞的Cohen-Grossberg神经网络的指数稳定性 |
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| 引用本文： | 宋建梅,李金仙.一类具有时滞的Cohen-Grossberg神经网络的指数稳定性[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 宋建梅 李金仙 |
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| 作者单位： | 1. 山西经贸职业学院,基础部,山西,太原,030024
2. 山西大学,数学科学学院,山西,太原,030006 |
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| 摘 要： | 考虑一类具有时滞的Cohen-Grossberg神经网络,利用Lyapunov方法和微分不等式理论,得到了其全局指数稳定性的判别准则.该准则引入了更多的参数,更便于系统的设计与分析.
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| 关 键 词： | Cohen-Grossberg神经网络 Lyapunov函数 时滞 全局指数稳定 |
Dynamical Analysis of Cohen-Grossberg Neural Networks with Time-delays |
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| SONG Jian-mei,LI Jin-xian.Dynamical Analysis of Cohen-Grossberg Neural Networks with Time-delays[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | SONG Jian-mei LI Jin-xian |
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| Abstract: | A model describing dynamics of Cohen-Grossberg neural networks with time-delays is considered. By means of Lyapunov functionals and differential inequality technique, criteria on global exponential stability of this model are derived. Many adjustable parameters are introduced in criteria to provide flexibility for the design and analysis of the system. |
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| Keywords: | Cohen-Grossberg neural networks lyapunov functionals time delay global exponential stability |
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