An Improved Stability Criterion for Discrete-Time Linear Systems With Two Additive Time-Varying Delays

被引：2
作者：
Yang, Hanhua [1 ]
Bo, Xiaoting [2 ]
Chen, Chong [2 ]
Duan, Wenyong [2 ]
机构：
[1] Yancheng Inst Technol, Sch Phys Culture, Yancheng 240051, Peoples R China
[2] Yancheng Inst Technol, Sch Elect Engn, Yancheng 240051, Peoples R China
来源：
IEEE ACCESS | 2022年 / 10卷
关键词：
Stability criteria; Delays; Linear matrix inequalities; Time-varying systems; Numerical stability; Power system stability; Delay effects; Discrete-time systems; Lyapunov-Krasovskii functional; time-varying delays; time-delayed system; SWITCHED NEURAL-NETWORKS; MARKOVIAN JUMP SYSTEMS; STABILIZATION;
D O I：
10.1109/ACCESS.2022.3226698
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the stability analysis problem for discrete-time linear systems with additive time-varying delays is further investigated. In the first place, an augmented Lyapunov-Krasovskii functional (LKF) based on delay interval decomposition is designed, where some augmented vectors are selected to supplement the coupling relationships between some system state variables and different delay subintervals. In the second place, based on the augmented LKF, a new delay-dependent stability criterion is derived vai a general summation inequality lemma. The stability criterion is derived in the form of linear matrix inequality (LMI), which can be solved quickly by Matlab LMI-Tool. In the end, the effectiveness of the proposed method is illustrated by some common numerical examples.
引用
收藏
页码：126787 / 126801
页数：15
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