Absolute stability of Lurie systems with two additive time-varying delays

被引：3
作者：
Rui Zhang [1 ,2 ]
Li, Junmin [1 ]
Jiao, Jianmin [2 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710126, Shaanxi, Peoples R China
[2] Baoji Univ Arts & Sci, Inst Math & Informat Sci, Baoji 721013, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2018年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lurie systems; absolute stability; additive time-varying delays; Lyapunov functional; linear matrix inequality (LMI); DEPENDENT ROBUST STABILITY; NONLINEAR PERTURBATIONS; CRITERIA; COMPONENTS;
D O I：
10.1093/imamci/dnw064
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, the problem of absolute stability analysis for Lurie systems with two additive time-varying delays is considered. By constructing a suitable Lyapunov functional and using combined convex technique, new delay-dependent absolute stability criteria are derived to guarantee the absolute stability of the Lurie systems with non-linearity located in an infinite sector and a finite one. The obtained criteria are expressed as a set of linear matrix inequalities, which can be readily tested by using standard numerical software. Numerical examples are given to illustrate the effectiveness of the proposed stability criteria.
引用
收藏
页码：555 / 567
页数：13
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