| 变时滞细胞神经网络的全局指数稳定性 |
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| 引用本文： | 张丽娟,斯力更.变时滞细胞神经网络的全局指数稳定性[J].山东大学学报(理学版),2007,42(4):58-62. |
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| 作者姓名： | 张丽娟 斯力更 |
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| 作者单位： | 1. 烟台大学,数学与信息科学系,山东,烟台,264005
2. 内蒙古师范大学,数学系,内蒙古,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金;烟台大学校科研和教改项目 |
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| 摘 要： | 研究了一类变时滞细胞神经网络平衡点的全局指数稳定性问题．在不要求激励函数全局Lipschitz条件下，利用Lyapunov函数方法和M-矩阵的特性，结合Young不等式和Halanay时滞微分不等式，得到了细胞神经网络模型在一定条件下全局指数稳定的一些充分条件．数值例子说明了本文结果的有效性．
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| 关 键 词： | 细胞神经网络 变时滞 全局指数稳定性 |
| 文章编号： | 1671-9352（2007）04-0058-05 |
| 收稿时间： | 2006-08-30 |
| 修稿时间： | 2006-08-30 |
Globally exponential stability of cellular neural networks with variable delays |
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| ZHANG Li-juan,SI Li-geng.Globally exponential stability of cellular neural networks with variable delays[J].Journal of Shandong University,2007,42(4):58-62. |
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| Authors: | ZHANG Li-juan SI Li-geng |
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| Institution: | 1. Department of Mathematics and Information Science, Yantai Univ., Yantai 264005, Shandong, China; 2. Department of Mathematics, Inner Mongolia Normal Univ., Huhhot 010022, Neimenggu, China |
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| Abstract: | The main purpose is to study the globally exponential stability of the equilibrium point for a class of cellular neural net-works with variable delays.Without assuming global Lipschitz conditions on the activation functions,applying idea of vector Lya-punov function and the characteristic of the M-matrix,combining Young inequality and Halanay differential inequality with delay,some sufficient conditions for globally exponential stability of neural networks are obtained.As an illustration,a numerical exam-ple is worked out using the results obtained. |
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| Keywords: | cellular neural networks variable delay globally exponential stability |
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