Stability Analysis of Discrete-Time Switched Linear Time-Varying Systems Based on Function-Dependent LMIs

被引：2

作者：

Chen, Guopei ^{[1
]}

Yang, Ying ^{[1
]}

机构：

[1] Huizhou Univ, Sch Math & Big Data, Huizhou 516007, Peoples R China

来源：

IEEE ACCESS | 2020年 / 8卷 / 08期

关键词：

Uniformly asymptotic stability; discrete-time systems; switched systems; linear time-varying systems; function-dependent linear matrix inequalities; average dwell time; STABILIZATION; SUBSYSTEMS;

D O I：

10.1109/ACCESS.2020.2968636

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the problem of uniformly asymptotic stability (UAS) for discrete-time switched linear time-varying (DSLTV) systems. Starting with discrete-time linear time-varying (DLTV) systems, some stability conditions are given by using function-dependent linear matrix inequalities (LMIs). Comparing with the existing results, the conditions obtained allow the norm and rate of variation of system matrix are unbounded. Furthermore, the obtained results are extended to study the UAS of DSLTV systems, the stability condition is given by combining the methods of function-dependent LMIs with average dwell time. Finally, some further discussions about the relaxation of conditions obtained are also proposed. Three numerical examples are given to illustrate the theoretical results.

引用

下载

页码：19221 / 19229

页数：9

共 50 条

[11] Stability and passivity analysis of discrete-time linear systems with time-varying delay
Qiu, Sai-Bing
Liu, Xin-Ge
Wang, Feng-Xian
Chen, Qiao
SYSTEMS & CONTROL LETTERS, 2019, 134
[12] Asymptotic stability and stabilization of discrete-time switched systems with time-varying delay
Charqi, Mohammed
Tissir, El Houssaine
Boukili, Bensalem
OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (02): : 486 - 502
[13] Robust Stability of Uncertain Discrete-Time Switched Systems With Time-Varying Delay
Mohammed, Charqi
El Houssaine, Tissir
Mohamed, Ouahi
Noureddine, Chaibi
2018 INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND COMPUTER VISION (ISCV2018), 2018,
[14] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
Liang Lin XIONG 1
2.School of Applied Mathematics
3.Key Laboratory for NeuroInformation of Ministry of Education
4.School of Computer Science and Engineering
Journal of Mathematical Research with Applications, 2011, (02) : 224 - 232
[15] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
Liang Lin XIONG Shou Ming ZHONG Mao YE School of Mathematics and Computer ScienceYunnan Nationalities UniversityYunnan PRChinaSchool of Applied MathematicsUniversity of Electronic Science and Technology of ChinaSichuan PRChinaKey Laboratory for NeuroInformation of Ministry of EducationUniversity of Electronic Science and Technology of ChinaSichuan PRChinaSchool of Computer Science and EngineeringUniversity of Electronic Science and Technology of ChinaSichuan PRChina
数学研究与评论, 2011, 31 (02) : 224 - 232
[16] Delay-Dependent Exponential Stability for Discrete-Time Singular Switched Systems with Time-Varying Delay
Zhang, Lijun
Zhao, Jiemei
ASIAN JOURNAL OF CONTROL, 2013, 15 (02) : 630 - 635
[17] Switched System Based Approach to Analysis and Synthesis of Discrete-Time Linear Systems With Time-Varying State Delay
Du, Xin
Yang, Guang-Hong
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 3033 - 3038
[18] Stability of discrete-time systems with time-varying delays
Ekanayake, MM
Premaratne, K
Douligeris, C
Bauer, PH
PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
[19] Exponential Stability for Switched Discrete-time Nonlinear Cascade Systems with Time-varying Delays
Guo Kai
Zhang Xiaoli
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1539 - 1544
[20] On Input-to-State Stability of Discrete-Time Switched Nonlinear Time-Varying Systems
Chen, Guopei
Yang, Ying
Li, Junmin
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (12) : 5214 - 5221

← 1 2 3 4 5 →