| 具有时滞的细胞神经网络的全局渐近稳定性分析 |
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| 引用本文： | 王晓梅,钟守铭,郭科. 具有时滞的细胞神经网络的全局渐近稳定性分析[J]. 成都理工大学学报(自然科学版), 2004, 31(4): 422-426 |
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| 作者姓名： | 王晓梅 钟守铭 郭科 |
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| 作者单位： | 电子科技大学应用数学学院,成都,610054;成都理工大学信息管理学院 |
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| 基金项目： | 国家自然科学基金 , 教育部科学技术研究项目 |
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| 摘 要： | 研究了一类具有时滞的细胞神经网络的稳定性问题,首先证明了这类系统的平衡点的存在性,然后利用Lyapunov泛函方法结合不等式分析技巧,在引入一系列参数的条件下,给出了系统平衡点唯一和平凡解全局渐近稳定的充分条件,该条件与时滞无关且推广和改进了已有文献的结果.
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| 关 键 词： | 时滞 细胞神经网络 全局渐近稳定性 Lyapunov泛函 |
| 文章编号： | 1671-9727(2004)04-0422-05 |
| 修稿时间： | 2003-04-28 |
Global asymptotic stability analysis of cellular networks with delay |
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| WANG Xiao-mei,ZHONG Shou-ming,GUO Ke. Global asymptotic stability analysis of cellular networks with delay[J]. Journal of Chengdu University of Technology: Sci & Technol Ed, 2004, 31(4): 422-426 |
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| Authors: | WANG Xiao-mei ZHONG Shou-ming GUO Ke |
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| Affiliation: | WANG Xiao-mei~1,ZHONG Shou-ming~1,GUO Ke~2 |
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| Abstract: | In this paper, the authors investigate the stability of a class of cellular neural networks with (delay), First, the existence of equilibrium is proven. Second, by making use of the Lyapunov functional method and combining with the technique of inequality analysis and through introducing a series of (parameters), they give the sufficient conditions of the unique equilibrium and the global asymptotic stability of the common solution for the systems. The sufficient conditions are not connected with delay, and spread and improve the results of the existing papers. |
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| Keywords: | delay cellular neural networks global asymptotic stability lyapunov function |
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