具有区间时变时滞的线性系统稳定性分析  

Stability analysis of linear systems with interval time-varying delay

作　　者：闫冬梅 钟辉 任丽莉 王若琳 李红梅 YAN Dong-mei1,ZHONG Hui1,REN Li-li2 ,WANG Ruo-lin3 ,LI Hong-mei1(1. Management Center of Big Data and Networh, Jilin University, Changchun 130012, China; 2. Networle Center, Changchun Normal University, Changchun 130032, China; 3. College of Administrative Engineering, Jilin Communications Polytechnic, Changchun 130012,China)

机构地区：[1]吉林大学大数据和网络管理中心,长春130012 [2]长春师范大学网络中心,长春130032 [3]吉林交通职业技术学院管理工程学院,长春130012

出　　处：《吉林大学学报（工学版）》2018年第5期1556-1562,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：吉林省省级产业创新专项项目(2017C031-4)

摘　　要：研究了给定区间时变时滞线性系统的稳定性问题。通过构造一个具有三重积分项的新的Lyaounov-Krasovskii泛函,利用一个最新提出的基于自由矩阵的积分不等式,得到了新的保守性更小的保证系统稳定的充分条件。最后,通过2个实例验证了所提出的方法比现有方法具有更小的保守性。This paper investigates the stability problem of a linear system with time-varying delay.The time-varying delay is assumed to belong to a given interval.A new Lyapunov-Krasovskii function is constructed which contains some tripe integral terms.Using some integral inequalities including the recent proposed free-matrix-based integral inequality,new sufficient stability conditions are obtained,which are presented in terms of Linear Matrix Inequality（LMI）.Finally,two examples are given to demonstrate that the obtained results are less conservative than some existing method.

关 键 词：自动控制技术 时滞系统 时滞依赖稳定性 区间时滞 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]