| 朱伟,徐道义.具有脉冲和无限时滞的模糊细胞神经网络的全局指数稳定性[J].数学研究及应用,2008,28(1):1~10 |
| 具有脉冲和无限时滞的模糊细胞神经网络的全局指数稳定性 |
| Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays |
| 投稿时间：2006-03-11 修订日期：2006-10-10 |
| DOI：10.3770/j.issn:1000-341X.2008.01.001 |
| 中文关键词: 全局指数稳定 模糊细胞神经网络 脉冲 无限时滞 积分微分不等式. |
| 英文关键词:global exponential stability fuzzy cellular neural networks impulses infinite delays integro-differential inequality. |
| 基金项目:国家自然科学基金(No. 10671133); 重庆邮电大学博士基金 (No. A2007-41). |
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| 中文摘要: |
| 本文讨论了具有脉冲和无限时滞的模糊细胞神经网络的全局指数稳定性.通过建立一个脉冲时滞%积分微分不等式,以及模糊逻辑算子与M-矩阵的性质,不仅得到了系统全局指数稳定的充分条件,而且也给出了指数收敛速度.最后,所给的例子充分验证了文中所给出的充分条件的有效性. |
| 英文摘要: |
| In this paper, the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated. Based on an impulsive delayed integro-differential inequality and the properties of fuzzy logic operation and M-matrix, an easily verified sufficient condition is obtained. Moreover, the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given. An example is given to illustrate the effectiveness of our theoretical result. |
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