Izvorni znanstveni članak
https://doi.org/10.1080/00051144.2019.1706885
An improved stability criterion for linear time-varying delay systems
Wenxi Feng
; College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, Guangdong, People’s Republic of China
Fei Luo
; College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, Guangdong, People’s Republic of China
Wenyong Duan
; School of Electrical Engineering, Yancheng Institute of Technology, Yancheng, Jiangsu 224051, People’s Republic of China
Yan Li
; Undergraduate Office, Yancheng Biological Engineering Higher Vocational Technology School, Yancheng, Jiangsu 224051, People’s Republic of China
Jian Chen
; School of Electrical Engineering, Yancheng Institute of Technology, Yancheng, Jiangsu 224051, People’s Republic of China
Sažetak
This paper considers the stability problem of linear systems with time-varying delays. A modified Lyapunov–Krasovskii functional (LKF) is constructed, which consists of delay-dependent matrices and double integral items under two time-varying subintervals. Based on the modified LKF, a less conservative stability criterion than some previous ones is derived. Furthermore, to obtain a tighter bound of the integral terms, the quadratic generalized free-weighting matrix inequality (QGFMI) is fully applied to different delay subintervals, which further reduces the conservatism of the stability criterion. Finally, three numerical examples are presented to show the effectiveness of the proposed approach.
Ključne riječi
Delay-dependent stability; Lyapunov–Krasovskii functional; linear matrix inequalities; time-delayed system; time-varying delay
Hrčak ID:
239866
URI
Datum izdavanja:
16.3.2020.
Posjeta: 1.100 *