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| 具反映扩散有限连续分布时滞细胞神经网络的全局指数稳定性 | |
| 引用本文： | 罗毅平,邓飞其,汤志宏,杨逢建.具反映扩散有限连续分布时滞细胞神经网络的全局指数稳定性[J].控制理论与应用,2007,24(2):210-214. |
| 作者姓名： | 罗毅平 邓飞其 汤志宏 杨逢建 |
| 作者单位： | 1. 湖南工程学院,数理系,湖南,湘潭,411101 2. 华南理工大学,自动化科学与工程学院,广东,广州,510640 3. 仲凯农业技术学院,数学系,广东,广州,510225 |
| 基金项目： | 国家自然科学基金资助项目(60374023);湖南省自然科学基金资助项目(05JJ40093);湖南省教育厅自然科学基金重点资助项目. |
| 摘 要： | 研究了具反应扩散有限连续分布细胞神经网络的平衡点的存在性及全局指数稳定性问题,提出了新的比较原理,在对神经元的激励函数的较宽松的条件下,利用同伦不变性原理获得了该系统的平衡点的存在性,利用所得的比较原理获得了该系统全局指数渐近稳定性的充分条件,而且这些条件容易检验,并举了一个数值实例以说明结论的有效性． |
| 关 键 词： | 反应扩散 连续分布时滞 平衡点 全局指数稳定性 比较原理 |
| 文章编号： | 1000-8152（2007）02-0200-05 |
| 收稿时间： | 8/3/2005 12:00:00 AM |
| 修稿时间： | 2004-08-032005-10-26 |
Global exponential stability of distributed delays neural networks with reaction-diffusion terms |
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| LUO Yi-ping,DEMG Fei-qi,TANG Zhi-hong,YANG Feng-jian.Global exponential stability of distributed delays neural networks with reaction-diffusion terms[J].Control Theory & Applications,2007,24(2):210-214. | |
| Authors: | LUO Yi-ping DEMG Fei-qi TANG Zhi-hong YANG Feng-jian |
| Affiliation: | Department of Mathematics and Physics, Hunan Institute of Engineering, Xiangtan Hunan 411101,China;College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640,China;Department of Mathematics, Zhongkai Agrotechnical College, Guangzhou Guangdong 510225,China |
| Abstract: | The existence of the equilibrium point and global exponential stability of distributed delays neural networks with reaction-diffusion terms are investigated in this paper.Firstly,a new comparative theorem is obtained.Secondly, without assuming the boundedness,monotonicity and differentiability of the activation functions,the sufficient conditions of the existence of the systems' equilibrium point are obtained by utilizing the theory of homotopy invariability,and the sufficient conditions of the global exponential stability of the systems with distributed delays by Dini's derivative,M- function and the new extended Halanay's inequality.Finally,a numerical example is given to illustrate the applicability of this condition. |
| Keywords: | reaction-diffusion continuous distributed delays equilibrium point global exponential stability comparative theorem |
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