| 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 |
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| 引用本文： | 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. |
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| 作者姓名： | 朱伟 徐道义 |
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| 作者单位： | [1]Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; [2]Yangtze Center of Mathematics, Sichuan University, Sichuan 610064, China） |
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| 基金项目： | The authors are grateful to the referees for their helpful suggestions. the National Natural Science Foundation of China （No. 10671133）; the Doctors＇ Foundation of Chongqing University of Posts and Telecommunication （No. A2007-41）. |
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| 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.
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| 关 键 词： | 全局指数稳定性 脉冲 无限时滞 模糊细胞神经网络 |
| 收稿时间： | 2006-03-11 |
| 修稿时间： | 2006-10-10 |
Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays |
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| ZHU Wei and XU Dao-yi.Global Exponential Stability of Fuzzy Cellular Neural Networks with Impulses and Infinite Delays[J].Journal of Mathematical Research with Applications,2008,28(1):1-10. |
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| Authors: | ZHU Wei and XU Dao-yi |
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| Institution: | Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China; Yangtze Center of Mathematics, Sichuan University, Sichuan 610064, China;Yangtze Center of Mathematics, Sichuan University, Sichuan 610064, China |
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| Abstract: | 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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| Keywords: | global exponential stability fuzzy cellular neural networks impulses infinite delays integro-differential inequality |
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