A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems

被引：1

作者：

Ding, Liming ^{[1
,2
]}

He, Dajiang ^{[1
,2
]}

Mi, Xianwu ^{[1
,2
]}

Shu, Wei ^{[1
,2
]}

Liao, Fang ^{[1
]}

Shao, Linwen ^{[1
]}

机构：

[1] Huaihua Univ, Coll Elect & Informat Engn, Huaihua 418000, Peoples R China

[2] Key Lab Intelligent Control Technol Wuling Mt Eco, Huaihua 418000, Peoples R China

来源：

IEEE ACCESS | 2021年 / 9卷

关键词：

Symmetric matrices; Delays; Linear matrix inequalities; Delay effects; Time-varying systems; Stability criteria; Delay systems; Relaxed condition; Lyapunov-Krasovskii functional (LKF); stability analysis; time-varying delay systems; INTEGRAL INEQUALITY APPLICATION; UNCERTAIN NEUTRAL SYSTEMS; 2ND-HARMONIC CURRENT; CONTROL SCHEMES; CRITERIA; CONVERTER;

D O I：

10.1109/ACCESS.2021.3114001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the stability analysis problem of time-varying delay systems is studied. Based on recent research on Lyapunov-Krasovskii functionals (LKFs), relaxed conditions have been found to weaken some matrices in terms of LKFs, which means that some integral terms cannot be strictly positive definite. Therefore, motivate by this consideration, a new relaxed condition is constructed to weaken some matrices in constructed LKF. Then, for the sake of obtaining more information of time delays, dynamic delay interval (DDI) method was introduced to address the double integral terms with time-varying delay. Furthermore, some recent technologies are employed to process derivatives of LKF. As a consequence, a less conservative result is obtained. The examples given by previous papers are used to demonstrate the superiority of our work.

引用

页码：130562 / 130569

页数：8

共 50 条

[21] Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
Park, Myeong-Jin
Lee, Seung-Hoon
Kwon, Oh -Min
Ryu, Ji-Hyoung
IEEE ACCESS, 2017, 5 : 24389 - 24400
[22] An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay*
Zhang, Xian-Ming
Han, Qing-Long
Seuret, Alexandre
Gouaisbaut, Frederic
AUTOMATICA, 2017, 84 : 221 - 226
[23] Analysis of Lyapunov-Krasovskii stability for dynamical systems with time delay
Zhang, Xiaoyan
Sun, Jianqiao
Ding, Qian
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, 2013, 47 (05): : 72 - 76
[24] 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
[25] Exponential stability analysis of neural networks with a time-varying delay via a generalized Lyapunov-Krasovskii functional method
Li, Xu
Liu, Haibo
Liu, Kuo
Li, Te
Wang, Yongqing
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (03) : 716 - 732
[26] Improved stability criteria for the neural networks with time-varying delay via new augmented Lyapunov-Krasovskii functional
Gao, Zhen-Man
He, Yong
Wu, Min
APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 258 - 269
[27] New Lyapunov-Krasovskii Stability Condition for Uncertain Systems with Interval Time-varying Delays
Wu Yubin
Zhang Hexin
Hui Junjun
Zhou Xin
Wang Qiang
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 447 - 451
[28] 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
[29] Stability Analysis of Milling Process With Time-Varying Delays Via Lyapunov-Krasovskii Functional
He, Jiang
Yan, Chen
Wang, Hong-Zhang
Li, Dan-Yun
PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 880 - 885
[30] 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

← 1 2 3 4 5 →