Stability analysis of linear systems with time-varying delay via some novel techniques

被引：15
|
作者：
Xiao, Shen-Ping [1 ]
Long, Yi-Xuan [2 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] Hunan Univ Technol, Hunan Key Lab Biomed Nanomat & Devices, Zhuzhou 412007, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 01期
关键词：
Stability analysis; Reciprocally convex inequality; Lyapunov-Krasovskii functional; Time-varying delay; NEURAL-NETWORKS; INEQUALITY APPLICATION; CRITERIA;
D O I：
10.1016/j.jfranklin.2023.11.016
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 concentrates on the stability analysis of linear systems with a time-varying delay. Firstly, a new Lyapunov-Krasovskii functional (LKF) is given, which involves more time delay cross-terms information. Secondly, an improved reciprocally convex inequality with higher estimation accuracy is derived. Then, on the basis of the constructed LKF and the improved reciprocally convex inequality, some new stability criteria with less conservative are proposed. Finally, the superiority of the obtained stability criteria is explained by two numerical examples.
引用
收藏
页码：12 / 20
页数：9
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