Improved Stability Conditions for Systems with Interval Time-Varying Delay

被引：42
作者：
Qian, Wei [1 ]
Cong, Shen [2 ]
Li, Tao [3 ]
Fei, Shumin [4 ]
机构：
[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Henan, Peoples R China
[2] Heilongjiang Univ, Dept Mech & Elect Engn, Harbin 150080, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Sch Automat Engn, Nanjing 210016, Jiangsu, Peoples R China
[4] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2012年 / 10卷 / 06期
关键词：
Interval time-varying delay; linear matrix inequality (LMI); Lyapunov functional; Stability; DEPENDENT STABILITY; LINEAR-SYSTEMS; ROBUST STABILITY; CRITERIA; STABILIZATION;
D O I：
10.1007/s12555-012-0609-9
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. Through constructing a new augmented Lyapunov-Krasovskii functional (LKF) which contains some quadruple-integral terms and estimating the time derivative of the LKF less conservatively, new stability criteria are derived without introducing any free matrices. Moreover, by proving the positive definiteness of the LKF with some integral inequalities, the constraints on some functional parameters are relaxed and the conservatism of the obtained results are further reduced. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
引用
收藏
页码：1146 / 1152
页数：7
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