Stability Analysis for Discrete-Time Switched Systems With Time-Varying Delays

被引：0

作者：

Shi, Shuang ^{[1
]}

Yang, Liu ^{[1
]}

Ren, Shunqing ^{[2
]}

Fei, Zhongyang ^{[1
]}

机构：

[1] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

来源：

PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC) | 2019年

基金：

中国国家自然科学基金;

关键词：

Discrete-time switched system; Time-varying delay; Stability analysis; Wirtinger-based summation inequality; Semi-time-dependent method; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.23919/chicc.2019.8866417

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, we focus on the stability analysis for discrete-time switched systems with time-varying delays. By adopting extended mode-dependent average dwell-time switching laws and semi-time-dependent multiple L.yapunov-like functions, the improved stability criterion is deduced for switched time-delay systems comprising of both stable and unstable subsystems. Moreover, by using the reciprocally convex combination inequality and the Wirtinger-based summation inequality to cope with the time-varying delays, the conservativeness can be further reduced. The validity of the developed result is demonstrated by a numerical example.

引用

页码：1730 / 1735

页数：6

共 50 条

[41] Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
Phat, V. N.
Ratchagit, K.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (04) : 605 - 612
[42] On reachable set bounding for discrete-time switched nonlinear positive systems with mixed time-varying delays and disturbance
Zhu, Xingao
Liu, Shutang
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 49
[43] STABILITY AND PASSIVITY ANALYSIS OF UNCERTAIN LINEAR DISCRETE-TIME SYSTEMS WITH MIXED INTERVAL TIME-VARYING DELAYS
Tangsiridamrong, Presarin
Mukdasai, Kanit
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (02): : 461 - 490
[44] Necessary and sufficient conditions for stabilisability of discrete-time time-varying switched systems
Lu, Junjie
She, Zhikun
Liao, Fucheng
IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (03): : 446 - 458
[45] Quasi-time-dependent H∞ Control for Discrete-time Switched Systems With Time-varying Delay and Unstable Modes
Liu, Xiaomin
Wu, Baowei
Wang, Yue-E
Liu, Lili
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2024, 22 (05) : 1511 - 1525
[46] Stability analysis of discrete-time switched stochastic non-autonomous systems with external inputs and time-varying delays under partially unstable subsystems
Fan, Lina
Lv, Yuan
Zhu, Quanxin
APPLIED MATHEMATICS AND COMPUTATION, 2023, 443
[47] Robust filter design for piecewise discrete-time systems with time-varying delays
Mahmoud, Magdi S.
Xia, Yuanqing
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 544 - 560
[48] Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay
Dong, Yali
Liang, Shuang
Wang, Huiming
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1999 - 2015
[49] 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
[50] Extended affine bessel summation inequalities: Applications to stability analysis of linear discrete-time systems with time-varying delays
Park, JunMin
Kwon, Nam Kyu
Lee, Seok Young
APPLIED MATHEMATICS AND COMPUTATION, 2023, 451

← 1 2 3 4 5 →