Interval approximation method for stability analysis of time-delay systems

被引：4
作者：
Qiu, Yunfei [1 ]
Hua, Changchun [1 ]
Park, Ju H. [2 ]
Wang, Yibo [1 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Hebei, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, Gyongsan 38541, South Korea
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2023年 / 360卷 / 04期
基金：
中国国家自然科学基金; 国家重点研发计划; 新加坡国家研究基金会;
关键词：
VARYING DELAY; FUZZY-SYSTEMS; STABILIZATION; INEQUALITY;
D O I：
10.1016/j.jfranklin.2022.12.056
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 studies the stability analysis of linear systems with time-varying delay, which is supposed to be the trigonometric form. By utilizing the characteristics between time-varying delay and its derivative, a novel interval approximation method is proposed, which provides the new allowable delay sets. Then making use of Wirtinger inequality, reciprocally convex inequality and the looped Lyapunov-Krasovskii functionals, the stability criteria with less conservatism are obtained. Finally, two examples are used to show the effectiveness and efficiency of the stability criteria. (c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：3034 / 3046
页数：13
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