不确定变时滞中立型系统的指数稳定性  

Exponential stability of uncertain neutral systems with time-varying delay

作　　者：钟晓珠[1] 卜树红[1] 付磊[2] 曹艳红[2] 马跃超[2] 

机构地区：[1]河北科技学院公共课部,河北保定071000 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第10期1419-1422,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(61273004)

摘　　要：针对不确定性时变时滞的中立型系统,根据Lyapunov稳定性理论,构造适当的Lyapunov函数,采用线性矩阵不等式(LMI)和积分不等式的处理方法,得到了一个保守性较小的不确定变时滞中立型系统指数稳定的判据.通过数值例子说明结果是可行的、正确的和有效的.This paper investigated the problem of exponential stability of uncertain neutral systems with time-varying delay. Based on Lyapunov stability theory, linear matrix inequality （LMI）, a new integral inequality and generalized Lyapunov-krasovskii function, a new criterion of the exponential stability is given. The results compared with others through numerical examples show that the derived criterion is less conservative than those in the literature, and the method is feasible, correct and effective.

关 键 词：中立系统 不确定 时滞 指数稳定 LYAPUNOV稳定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]