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

页数：15

共 50 条

[41] New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems
Hien, L. V.
Phat, V. N.
Trinh, H.
NONLINEAR DYNAMICS, 2015, 82 (1-2) : 563 - 575
[42] Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control
Sun, JT
CHAOS SOLITONS & FRACTALS, 2004, 21 (01) : 143 - 150
[43] New sufficient conditions for the asymptotic stability of discrete time-delay systems
Sangapate, P.
ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 8
[44] New sufficient conditions for the asymptotic stability of discrete time-delay systems
P Sangapate
Advances in Difference Equations, 2012
[45] Generalized Halanay Inequalities with Applications to Generalized Exponential Stability and Boundedness of Time-Delay Systems
Ruan, Dehao
Liu, Yue
MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
[46] ASYMPTOTIC STABILITY OF DELAY-DIFFERENCE SYSTEM VIA MATRIX INEQUALITIES
Ratchagit, Kreangkri
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2008, 1 (02): : 171 - 177
[47] The asymptotic stability and stabilization for singular systems with time-delay
Liang, J.
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2001, 23 (02): : 62 - 64
[48] New criteria for asymptotic stability of a class of discrete-time TS fuzzy switched time-delay systems
Aoun, Nawel
Kermani, Marwen
Sakly, Anis
2017 4TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2017, : 735 - 741
[49] A note on equivalence between two integral inequalities for time-delay systems
Ji, Xiaofu
Su, Hongye
AUTOMATICA, 2015, 53 : 244 - 246
[50] A note on Wirtinger-type integral inequalities for time-delay systems
Gyurkovics, Eva
AUTOMATICA, 2015, 61 : 44 - 46

← 1 2 3 4 5 →