具有区间时滞的中立型Luré系统的稳定性分析  

Stability Analysis of Neutral LuréSystems with Time-varying Delays

作　　者：刘心歌[1] 徐巧玲 唐美兰[1] Liu Xinge;Xu Qiaoling;Tang Meilan(School of MathemaOcs and Statistics,Central South University,Changsha 410083,China)

机构地区：[1]中南大学数学与统计学院,长沙410083

出　　处：《数学理论与应用》2020年第1期1-18,共18页Mathematical Theory and Applications

基　　金：国家自然科学基金项目No.61773404与No.61271355资助。

摘　　要：本文研究一类含有区间时变时滞的中立型Luré系统的稳定性问题,基于微分方程的稳定性理论,通过构造合适的Lyapunov-Krasovskii泛函,借助推广的积分不等式和分段分析方法与倒凸方法,获得保守性更小的稳定性判据.数值实验结果比较表明了本文稳定性定理的可行性与优越性.This paper investigates the stability problem of neutral Lurésystems with time-varying delays.Based on the stability theory in differential equations,a less conservative stability criterion is obtained by constructing an appropriate Lyapunov-Krasovskii functional and using the generalized integral inequalities,the segmentation method and the reciprocally convex approach.The superiority of our stability criterion is illustrated by numerical experiments and comparing with the existing results in literatures.

关 键 词：中立型Luré系统 线性矩阵不等式 时滞 LYAPUNOV-KRASOVSKII泛函 

分 类 号：O175[理学—数学]