Improved Stability Method for Linear Time-Varying Delay Systems

被引：3

作者：

Zhao, Zhanshan ^{[1
]}

He, Meili ^{[1
]}

Zhang, Jing ^{[2
,3
]}

Sun, Jie ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Sch Text, Tianjin 300387, Peoples R China

[3] Tianjin Vocat Inst, Tianjin 300410, Peoples R China

来源：

IEEE ACCESS | 2018年 / 6卷

基金：

中国国家自然科学基金;

关键词：

Time-varying delay; reciprocally convex method; stability analysis; integral inequality; NEURAL-NETWORKS; DISSIPATIVITY ANALYSIS; FUZZY-SYSTEMS; SYNCHRONIZATION; STABILIZATION; DISCRETE; CRITERIA;

D O I：

10.1109/ACCESS.2018.2799612

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider the stability of the system with time-varying delay. By partitioning the delay interval and taking account of the triple integral term, a new augmented Lyapunov-Krasovskii function (LKF) is proposed. The Wirtinger-based inequality and improved convex combination method are applied to estimate the upper bound of the derivative produced by LKF. For the quadratic functions, we make full use of the convex approaches. The Moon inequality mixes the convex approach is applied to tackle with the integral term made by the Wirtinger-based inequality. Then according to the result, our method can obtain less conservative stability condition. Finally, examples are provided to demonstrate our method is efficiency.

引用

页码：7753 / 7758

页数：6

共 42 条

[1] Second-order sliding mode controller design subject to mismatched term [J].

Ding, Shihong ;

Li, Shihua .

AUTOMATICA, 2017, 77 :388-392

[2] Simple homogeneous sliding-mode controller [J].

Ding, Shihong ;

Levant, Arie ;

Li, Shihua .

AUTOMATICA, 2016, 67 :22-32

[3] Improved linear matrix inequality approach to stability analysis of linear systems with interval time-varying delays [J].

Farnam, Arash ;

Esfanjani, Reza Mahboobi .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 294 :49-56

[4] α-Dissipativity analysis of singular time-delay systems [J].

Feng, Zhiguang ;

Lam, James ;

Gao, Huijun .

AUTOMATICA, 2011, 47 (11) :2548-2552

[5] Asymptotic and exponential stability of uncertain system with interval delay [J].

Guo, Liangdong ;

Gu, Hong ;

Xing, Jun ;

He, Xiqin .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (19) :9997-10006

[6] Further improvement of free-weighting matrices technique for systems with time-varying delay [J].

He, Yong ;

Wang, Qing-Guo ;

Xie, Lihua ;

Lin, Chong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299

[7] Improved results on an extended dissipative analysis of neural networks with additive time-varying delays using auxiliary function-based integral inequalities [J].

Shanmugam, Saravanan ;

Vadivel, R. ;

Rhaima, Mohamed ;

Ghoudi, Hamza .

AIMS MATHEMATICS, 2023, 8 (09) :21221-21245

[8] Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback [J].

Huang, Tingwen ;

Li, Chuandong ;

Yu, Wenwu ;

Chen, Guanrong .

NONLINEARITY, 2009, 22 (03) :569-584

[9] Delay-dependent stability criteria for systems with asymmetric bounds on delay derivative [J].

Ko, Jeong Wan ;

Park, Poo Gyeon .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09) :2674-2688

[10] Refined Jensen-based inequality approach to stability analysis of time-delay systems [J].

Le Van Hien ;

Hieu Trinh .

IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) :2188-2194

← 1 2 3 4 5 →