| 一类中立型细胞神经网络平衡点的存在性及其全局指数稳定性 |
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| 引用本文： | 冯国涛,苏静,张安彩.一类中立型细胞神经网络平衡点的存在性及其全局指数稳定性[J].湖南文理学院学报(自然科学版),2008,20(1):1-3. |
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| 作者姓名： | 冯国涛 苏静 张安彩 |
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| 作者单位： | [1]中南大学数学与计算技术学院,湖南长沙410083 [2]湖南文理学院数学与计算科学学院,湖南常德415000 |
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| 摘 要： | 对一类中立型细胞神经网络平衡点的存在性及其全局指数稳定性进行了研究. 首先,利用Brouwer不动点理论得到了平衡点的存在性的充分条件,然后利用微分不等式分析技巧得到平衡点的唯一性及其全局指数稳定性的一个新的判据.
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| 关 键 词： | 中立型 细胞神经网络 全局指数稳定 |
| 文章编号： | 1672-6146(2008)01-0001-03 |
| 修稿时间： | 2007年9月5日 |
Existence and global exponential stability of equilibrium for a class of cellular neural networks of neutral-type |
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| FENG Guo-tao,SU Jing ,ZHANG An-cai.Existence and global exponential stability of equilibrium for a class of cellular neural networks of neutral-type[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2008,20(1):1-3. |
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| Authors: | FENG Guo-tao SU Jing ZHANG An-cai |
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| Institution: | FENG Guo-tao1,SU Jing 2,ZHANG An-cai 1 (1.School of mathematical science , computing technology,Central South university,Changsha,Hunan,410083,2.Department of mathematics,Hunan university of arts , science,Changde,Hunan 415000) |
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| Abstract: | The existence and global exponential stability of equilibrium were studied for a class of cellular neural networks with neutral-type.Initially,by Brouwer's fixed point theory,a sufficient condition was given for checking the existence of equilibrium,and then,by the differential inequality technique,a new criteria on the unique and global exponential stability of equilibrium were obtained. |
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| Keywords: | Neutral Cellular neural networks Global expon- enttial stability |
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