New Results on Stability of Linear Discrete-Time Systems With Time-Varying Delay

被引：5
|
作者：
Chen, Jun [1 ]
Chen, Xiangyong [2 ,3 ,4 ]
机构：
[1] Jiangsu Normal Univ, Sch Elect Engn & Automat, Xuzhou 221116, Jiangsu, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China
[3] Minist Educ, Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China
[4] Minist Educ, Engn Res Ctr Intelligent Technol Geoexplorat, Wuhan 430074, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
关键词：
Delays; Numerical stability; Discrete-time systems; Stability criteria; Time-varying systems; Linear matrix inequalities; Discrete-time system; free-matrix-based inequality; Lyapunov functional; stability; time-varying delay; SUMMATION INEQUALITIES; NEURAL-NETWORKS; CRITERIA;
D O I：
10.1109/ACCESS.2020.3028384
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the stability problem for linear discrete-time systems with a time-varying delay. Some relations between two general free-matrix-based summation inequalities are discussed. A novel Lyapunov-Krasovskii functional (LKF) is proposed by modifying the single- and double-summation LKF terms. As a result, a new stability condition is obtained by employing the general free-matrix-based summation inequalities reported recently. Numerical examples are given to show that the obtained stability condition is more relaxed than some of existing results.
引用
收藏
页码：180722 / 180727
页数：6
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