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

页码：149 / 157

页数：9

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