| 基于LMI的时滞细胞神经网络的指数稳定性分析 |
| |
| 引用本文： | 王路平,刘晓华.基于LMI的时滞细胞神经网络的指数稳定性分析[J].河南师范大学学报(自然科学版),2007,35(2):39-41. |
| |
| 作者姓名： | 王路平 刘晓华 |
| |
| 作者单位： | 1. 山东工商学院,数学与信息科学学院,山东,烟台,264005
2. 鲁东大学,数学与信息科学学院,山东,烟台264025 |
| |
| 摘 要： | 研究了一类具有时滞的细胞神经网络的指数稳定性问题,利用Lyapunov Krasovskii函数,给出了系统全局指数稳定的时滞相关稳定性条件,其结果以线性矩阵不等式的形式给出,可以很容易求出系统稳定的时滞上界,并且能够达到时滞无关指数稳定性和全局渐近稳定性.数值算例说明了本文结果的优越性.
|
| 关 键 词： | 时滞细胞神经网络 线性矩阵不等式 指数稳定 |
| 文章编号： | 1000-2367(2007)02-0039-03 |
| 修稿时间： | 2006-05-18 |
A Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks with Delay |
| |
| WANG Lu-ping,LIU Xiao-hua.A Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks with Delay[J].Journal of Henan Normal University(Natural Science),2007,35(2):39-41. |
| |
| Authors: | WANG Lu-ping LIU Xiao-hua |
| |
| Abstract: | The global exponential stability problem of Cellular neural networks with delays is investigated in this paper.A new stability condition is present based on Lyapunov Krasovskii method,which is dependent on the size of delays.The results are given in the form of LMI,and the admitted upper bound of the delay can be obtained easily.The time delay independent results can be got,which include some results in the former literature.Finally,a numerical example is given to illustrate the effectiveness of the main results. |
| |
| Keywords: | delayed cellular neural networks(DCNNs) LMI exponential stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
