Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality

被引：5
|
作者：
Gong, Cheng [1 ]
Zhu, Guopu [2 ]
Shi, Yan [3 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin, Heilongjiang, Peoples R China
[2] Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China
[3] Tokai Univ, Grad Sch Sci & Technol, Kumamoto, Japan
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2019年 / 50卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Linear time-delay system; exponential stability; Lyapunov-Krasovskii functional; linear matrix inequality; Taylor expansion; weighted integral inequality; GENETIC REGULATORY NETWORKS; RECURRENT NEURAL-NETWORKS; UNCERTAIN DYNAMIC-SYSTEMS; SUGENO FUZZY-SYSTEMS; DEPENDENT STABILITY; LINEAR-SYSTEMS; DISCRETE; CRITERIA; DESIGN; STABILIZATION;
D O I：
10.1080/00207721.2019.1573272
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 problem of exponential stability analysis of linear time-delay systems. First, based on the Gram-Schmidt-based integral inequality and the Taylor expansion of exponential function, we develop a new weighted multiple integral inequality called Taylor expansion-based weighted integral inequality. Second, a new Lyapunov-krasovskii functional is constructed, and then, with the help of the Taylor expansion-based inequality, a new exponential stability criterion is established in terms of linear matrix inequality. Finally, numerical examples are presented to show the effectiveness of the newly established stability criterion.
引用
收藏
页码：807 / 816
页数：10
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