Novel Lyapunov-Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems

被引：53
作者：
Kwon, W. [1 ]
Koo, Baeyoung [2 ]
Lee, S. M. [3 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Creat IT Engn, 77 Cheongam Ro, Pohang, Gyeongbuk, South Korea
[2] Pohang Univ Sci & Technol, Grad Inst Ferrous Technol, 77 Cheongam Ro, Pohang, Gyeongbuk, South Korea
[3] Kyungpook Natl Univ, Dept Elect Engn, Daegu 41566, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 320卷
关键词：
Lyapunov stability; Time-varying delay; Delay-dependent matrix; LINEAR-SYSTEMS; NEURAL-NETWORKS; STABILIZATION; IMPROVEMENT; INEQUALITY; CRITERION; STATE;
D O I：
10.1016/j.amc.2017.09.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the stability criteria of time-varying delay systems with known bounds of the delay and its derivative. To obtain a tighter bound of integral term, quadratic generalized free-weighting matrix inequality (QGFMI) is proposed. Furthermore, a novel augmented Lyapunov-Krasovskii functional (LKF) are constructed with a delay-dependent matrix, which impose the information for a bound of delay derivative. Relaxed stability condition using QGFMI and LKF provides a larger delay bound with low computational burden. The superiority of the proposed stability condition is verified by comparing to recent results. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：149 / 157
页数：9
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