New stability analysis for systems with interval time-varying delay

被引：42
作者：
Qian, Wei [1 ]
Liu, Juan [2 ]
机构：
[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Peoples R China
[2] Henan Polytech Univ, Dept Math & Informat Sci, Jiaozuo 454000, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 04期
关键词：
DEPENDENT STABILITY; ROBUST STABILITY; CRITERIA;
D O I：
10.1016/j.jfranklin.2012.12.017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is concerned with the stability of linear systems with interval time-varying delay. A new augmented Lyapunov-Krasovskii functional (LKF) is constructed, then its time derivative is estimated by improved reciprocally convex approach, and as a result, new less conservative stability criteria are obtained in terms of linear matrix inequalities. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results. Crown Copyright (C) 2012 Published by Elsevier Ltd. on behalf of The Franklin Institute. All rights reserved.
引用
收藏
页码：890 / 897
页数：8
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