Improved stability conditions for systems with interval time-varying delay

被引：0
|
作者：
Wei Qian
Shen Cong
Tao Li
Shumin Fei
机构：
[1] Henan Polytechnic University,School of Electrical Engineering and Automation
[2] Heilongjiang University,Department of Mechanical and Electrical Engineering
[3] Nanjing University of Aeronautics and Astronautics,School of Automation Engineering
[4] Southeast University,School of Automation
来源：
International Journal of Control, Automation and Systems | 2012年 / 10卷
关键词：
Interval time-varying delay; linear matrix inequality (LMI); Lyapunov functional; Stability;
D O I：
暂无
中图分类号：
学科分类号：
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：6
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