具有区间时变时滞的线性系统稳定性分析

doi:10.13229/j.cnki.jdxbgxb20180320

吉林大学学报(工学版) ›› 2018, Vol. 48 ›› Issue (5): 1556-1562.doi: 10.13229/j.cnki.jdxbgxb20180320

具有区间时变时滞的线性系统稳定性分析

闫冬梅¹, 钟辉¹, 任丽莉², 王若琳³, 李红梅¹

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

收稿日期:2017-11-22 出版日期:2018-09-20 发布日期:2018-12-11
通讯作者: 钟辉(1979-),男,副研究员,博士研究生.研究方向:通信与信息系统.E-mail:zhongh@jlu.edu.cn
作者简介:闫冬梅(1978-),女,高级工程师.研究方向:网络系统管理与控制.E-mail:yandongm@jlu.edu.cn
基金资助:
吉林省省级产业创新专项项目(2017C031-4)

Stability analysis of linear systems with interval time-varying delay

YAN Dong-mei¹, ZHONG Hui¹, REN Li-li², WANG Ruo-lin³, LI Hong-mei¹

1.Management Center of Big Data and Network, Jilin University, Changchun 130012,China;
2.Network Center, Changchun Normal University, Changchun 130032,China;
3.College of Administrative Engineering,Jilin Communications Polytechnic, Changchun 130012,China

Received:2017-11-22 Online:2018-09-20 Published:2018-12-11

摘要/Abstract

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。

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

Abstract: 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.

Key words: automatic control technology, time-delay system, delay-dependent stability, interval delay, linear matrix inequality

中图分类号:

TP273

闫冬梅, 钟辉, 任丽莉, 王若琳, 李红梅. 具有区间时变时滞的线性系统稳定性分析[J]. 吉林大学学报(工学版), 2018, 48(5): 1556-1562.

YAN Dong-mei, ZHONG Hui, REN Li-li, WANG Ruo-lin, LI Hong-mei. Stability analysis of linear systems with interval time-varying delay[J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1556-1562.

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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

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