A new integral inequality and application to stability of time-delay systems

被引：34
|
作者：
Tian, Junkang [1 ]
Ren, Zerong [1 ]
Zhong, Shouming [2 ]
机构：
[1] Zunyi Normal Coll, Sch Math Sci, Zunyi 563002, Guizhou, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 101卷 / 101期
关键词：
Time-delay system; Integral inequality; Lyapunov-Krasovskii functional (LKF); IMPROVEMENT;
D O I：
10.1016/j.aml.2019.106058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the delay-dependent stability analysis for linear systems with state and distributed delays. Firstly, based on an integral equality, a new integral inequality is obtained. Then, to show the effectiveness of the new integral inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequality (LMI). Finally, two numerical examples are given to illustrate the effectiveness of the present result. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
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