IMPROVED ROBUST ABSOLUTE STABILITY OF TIME-DELAYED LUR'E SYSTEMS

被引：3
|
作者：
Li, Yan [1 ]
Duan, Wenyong [2 ]
Shen, Cuifeng [2 ]
机构：
[1] Yancheng Biol Engn Higher Vocat Technol Sch, Undergrad Off, 1 Xuefu Rd, Yancheng 224051, Peoples R China
[2] Yancheng Inst Technol, Sch Elect Engn, 1 Mid Xiwang Ave, Yancheng 224051, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2020年 / 16卷 / 02期
关键词：
Lur'e nonlinear system; Lyapunov-Krasovskii functional; Robust absolute stability; Time-varying delay; VARYING DELAY; CRITERIA; SYNCHRONIZATION;
D O I：
10.24507/ijicic.16.02.495
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we focus on the problem of the absolute and robust absolute stability for time-delayed Lur'e systems. Both the cases with time-invariant and time-varying nonlinearities are considered. By using two improved relaxed integral inequality lemmas, new delay-dependent absolute and robust absolute stability criteria are proposed via Lyapunov-Krasovskii functional (LKF) approach. The stability conditions can be expressed as convex linear matrix inequality (LMI) framework, which can be solved by using standard LMI convex optimization solvers. The criteria proposed in this paper are less conservative than some previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.
引用
收藏
页码：495 / 512
页数：18
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