Stability Analysis of Systems With Time-varying Delay via a Novel Lyapunov Functional

被引：24
|
作者：
Chen, Yun [1 ,2 ]
Chen, Gang [1 ,2 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] Key Lab Elect Dr Control & Intelligent Equipment, Zhuzhou 412007, Peoples R China
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2019年 / 6卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Integral inequality; Lyapunov theorem; stability; time-delay systems; RECURRENT NEURAL-NETWORKS; INTEGRAL INEQUALITY; CRITERIA;
D O I：
10.1109/JAS.2019.1911597
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 investigates the stability problem for time-varying delay systems. To obtain a larger delay bound, this paper uses the second-order canonical Bessel-Legendre (BL) inequality. Secondly, using four couples of integral terms in the augmented Lyapunov-Krasovskii function (LKF) to enhance the relationship between integral functionals and other vectors. Furthermore, unlike the construction of the traditional LKF, a novel augmented LKF is constructed with two new delay-product-type terms, which adds more state information and leads to less conservative results. Finally, two numerical examples are provided to demonstrate the effectiveness and the significant improvement of the proposed stability criteria.
引用
收藏
页码：1068 / 1073
页数：6
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