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

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