New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities

被引：5
|
作者：
Zheng, Wei [1 ]
Wang, Hongbin [1 ]
Sun, Fuchun [2 ]
Wen, Shuhuan [1 ]
Zhang, Zhiming [1 ]
Wang, Hongrui [3 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao, Peoples R China
[2] Tsinghua Univ, State Key Lab Intelligent Technol & Syst, Inst Comp Sci & Technol, Beijing, Peoples R China
[3] Hebei Univ, Inst Elect & Informat Engn, Baoding, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Asymptotic stability; Delay-dependent stability conditions; Integral inequalities; Jensen inequalities; Time-delay systems; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1186/s13660-019-1984-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities. Firstly, not only the known constant time delay, but also the unknown time-varying delay is considered for the linear system. Secondly, the new delay-dependent Lyapunov-Krasovskii functional based on the double integral inequalities and Jensen inequalities is introduced, such that the linear system with time-delay is asymptotically stable. Thirdly, two classes of delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) are derived, such that the control design conditions are relaxed and computation complexity is reduced. Compared with previous works, the larger feasible solution region and less conservative results are obtained. Finally, some numerical examples are performed to show the effectiveness and advantage of the proposed method.
引用
收藏
页数：15
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