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

被引：52
|
作者：
Tian, Yufeng [1 ]
Wang, Zhanshan [1 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 105卷 / 105期
基金：
中国国家自然科学基金;
关键词：
Time-delay systems; Multiple integral inequality; Stability analysis; NEURAL-NETWORKS; SYNCHRONIZATION;
D O I：
10.1016/j.aml.2020.106325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the stability problem of linear time-delay systems. Firstly, a generalized vectors-based multiple integral inequality (GVMII) is presented, which can treat some existing results as its special cases. Secondly, based on the multiple integral inequality, a new delay-dependent stability criterion is derived for time-delay systems. Finally, a numerical example is given to illustrate the effectiveness of the stability criterion. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：8
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