时滞细胞神经网络的全局渐近鲁棒稳定性分析  

Global asymptotic robust stability of cellular neural networks with delay

作　　者：刘德友[1] 张建华[1] 关新平[1] 牛燕影[1] 高娟[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《系统工程与电子技术》2006年第6期911-914,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(60404022);国家杰出青年自然科学基金(60525303);教育部重点研究项目(204014)资助课题

摘　　要：针对一类具有时滞的细胞神经网络系统,利用新的Lyapunov Krasovskii函数,给出了系统全局渐近鲁棒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。进而可以很容易得到时滞无关稳定性结果,且该结果包含了现有文献中许多关于时滞无关稳定性分析的结果。数值算例说明了结论的有效性。The global asymptotic robust stability problem of cellular neural networks（CNNs） with delays is investigated. 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 get, which include some results in the former literature. Finally, a numerical example is given to illustrate the effectiveness of the main results.

关 键 词：神经网络 稳定 线性矩阵不等式 时滞 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]