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

共 50 条

[21] On designing Lyapunov-Krasovskii functional for time-varying delay T-S fuzzy systems
Sadek, Belamfedel Alaoui
El Houssaine, Tissir
Noreddine, Chaibi
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (05): : 2192 - 2205
[22] Improved delay-dependent stability analysis for linear time-delay systems: Based on homogeneous polynomial Lyapunov-Krasovskii functional method
Zhang, Huasheng
Xia, Jianwei
Zhuang, Guangming
NEUROCOMPUTING, 2016, 193 : 176 - 180
[23] Delay-dependent stability analysis and stabilization for discrete-time fuzzy systems with state delay: A fuzzy Lyapunov-Krasovskii functional approach
Wu, Huai-Ning
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (04): : 954 - 962
[24] New Lyapunov-Krasovskii stability condition for uncertain linear systems with interval time-varying delay
Zhang, Weifeng
Hui, Junjun
Gao, Wenqi
PROCEEDINGS OF THE 2016 4TH INTERNATIONAL CONFERENCE ON SENSORS, MECHATRONICS AND AUTOMATION (ICSMA 2016), 2016, 136 : 592 - 599
[25] H∞ control for singular systems with time-varying delay based on augmented Lyapunov-Krasovskii functional
Zhi Ya-Li
He Yong
2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 210 - 215
[26] Analysis on Power Systems Stability with Time-varying Delay Based on Delay-dependent Matrix Functional
Qian W.
Wu J.
Fei S.
Dianli Xitong Zidonghua/Automation of Electric Power Systems, 2020, 44 (01): : 53 - 58
[27] Extensions of Razumikhin's theorem and Lyapunov-Krasovskii functional constructions for time-varying systems with delay
Mazenc, Frederic
Malisoff, Michael
AUTOMATICA, 2017, 78 : 1 - 13
[28] Construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems
Zhou, Bin
AUTOMATICA, 2019, 107 : 382 - 397
[29] Stability analysis of neural networks with time-varying delay using a new augmented Lyapunov-Krasovskii functional
Hua, Changchun
Wang, Yibo
Wu, Shuangshuang
NEUROCOMPUTING, 2019, 332 : 1 - 9
[30] An Augmented Lyapunov-Krasovskii Functional Approach to Analyze Stability of T-S Fuzzy Systems With Time-Varying Delay
Yang, Jiaxiu
Zhu, Shuqian
Wang, Tian-Bao
2018 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC), 2018, : 65 - 68

← 1 2 3 4 5 →