| 具有无穷时滞的细胞神经网络的稳定性分析 |
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| 引用本文： | 钟守铭,黄廷祝,黄元清.具有无穷时滞的细胞神经网络的稳定性分析[J].电子学报,2001,29(5):626-629. |
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| 作者姓名： | 钟守铭 黄廷祝 黄元清 |
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| 作者单位： | 1. 电子科技大学应用数学系,成都 610054;2. 四川轻化工学院电子工程系,自贡 643033 |
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| 基金项目： | 国家自然科学基金! (No .69871 0 0 5) |
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| 摘 要： | 本文研究了具有无穷时滞的细胞神经网络的全局吸引性问题.利用常数变易法和不等式分析技巧,给出了无穷时滞的细胞神经网络无平衡点时,网络系统有吸引紧集的充分条件,同时也给出了无穷时滞的细胞神经网络有平衡点时,网络系统的平衡点全局渐近稳定的充分条件.其结果推广了文 的相应结果.
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| 关 键 词： | 细胞神经网络 全局吸引 无穷时滞 稳定性 |
| 文章编号： | 0372-2112 (2001) 05-0626-04 |
| 收稿时间： | 1999-03-26 |
The Stability Analysis of Cellular Networks with Infinite Delay |
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| ZHONG Shou ming ,HUANG Ting zhu ,HUANG Yuan qing.The Stability Analysis of Cellular Networks with Infinite Delay[J].Acta Electronica Sinica,2001,29(5):626-629. |
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| Authors: | ZHONG Shou ming HUANG Ting zhu HUANG Yuan qing |
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| Affiliation: | 1. Dept.Applied Mathematics UEST of China Chengdu 610054,China;2. Dept.Electronic Engineering,CCLI of Sichuan,Sichuan Zigong 643033,China |
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| Abstract: | Global attractivity of Cellular Networks with infinite delay is investigated.By making use of the method of variation of parameters and the method of inequality analysis,the conditions for attractivity are given to work out the sets of attractions when the systems do not have equilibria.If the equilibria exist,conditions for the equilibria to be global attractors are presented.The conditions are obtained by extending the results of paper 7,8]. |
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| Keywords: | cellular networks global attactivity infinite delay stability |
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