Improved stability criteria for linear systems with two additive time-varying delays via a novel Lyapunov functional

被引：26
|
作者：
Shen, Cuifeng [1 ]
Li, Yan [2 ]
Zhu, Xuelai [1 ]
Duan, Wenyong [1 ]
机构：
[1] Yancheng Inst Technol, Sch Elect Engn, Yancheng, Jiangsu, Peoples R China
[2] Yancheng Biol Engn Higher Vocat Technol Sch, Undergrad Off, Yancheng, Jiangsu, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 363卷
关键词：
Linear system; Lyapunov functional; Stability; Time-varying delay; Delay-dependent matrix; LOAD FREQUENCY CONTROL; DEPENDENT STABILITY; NEURAL-NETWORKS; ROBUST STABILITY; COMPONENTS; STABILIZATION; MATRIX;
D O I：
10.1016/j.cam.2019.06.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper consider the stability problem of linear systems with two additive time-varying delays. A novel Lyapunov-Krasovskii functional (LKF) is constructed, which consists of the delay-dependent non-integral items and the single-integral items. Based on the newly developed LKF, a stability criterion is derived, which is less conservative than some recent existing ones. Furthermore, to obtain a tighter bound of the integral term, quadratic generalized free-weighting matrix inequality (QGFMI) is used. Finally, a numerical example and an application of the load frequency control for a single area power system are presented to show the effectiveness of the proposed approach. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：312 / 324
页数：13
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