Stability of linear systems with slow and fast time variation and switching

被引：0

作者：

Liberzon, Daniel ^{[1
]}

Shim, Hyungbo ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Elect & Comp Engn, Seoul, South Korea

来源：

2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC) | 2022年

基金：

新加坡国家研究基金会;

关键词：

Switched systems; time-varying systems; stability of linear systems;

D O I：

10.1109/CDC51059.2022.9992853

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish exponential stability for a class of linear systems with slow and fast time variation and switching. We use the averaging method to approximate the original system by the average system which only exhibits slow time variation and switching. We then apply a stability criterion recently developed for such systems to prove stability of the average system and, consequently, of the original system.

引用

页码：674 / 678

页数：5

共 50 条

[41] Stability criteria for singularly perturbed linear switching systems
Chitour, Yacine
Haidar, Ihab
Mason, Paolo
Sigalotti, Mario
2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2022, : 6 - 11
[42] STABILITY OF LINEAR TIME VARYING SYSTEMS
徐道义
Science Bulletin, 1983, (07) : 1001 - 1002
[43] Stability and stabilization of switched linear time-invariant systems with saddle points and switching delays
Zhu, Liying
INFORMATION SCIENCES, 2016, 326 : 146 - 159
[44] Delay-dependent stability of a type of linear switching systems with discrete and distributed time delays
Gao, Fengyin
Zhong, Shouming
Gao, Xiuzhi
APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (01) : 24 - 39
[45] Stability of Switched Linear Systems under Dwell Time Switching with Piece Wise Quadratic Functions
Dehghan, Masood
Ang, Marcelo H.
2014 13TH INTERNATIONAL CONFERENCE ON CONTROL AUTOMATION ROBOTICS & VISION (ICARCV), 2014, : 1257 - 1260
[46] A new condition for stability of switched linear systems under restricted minimum dwell time switching
Kundu, Atreyee
SYSTEMS & CONTROL LETTERS, 2020, 135 (135)
[47] Fast switching between infinite-dimensional linear systems
Zhou, Hua-Cheng
Chen, Jian-Hua
Weiss, George
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[48] Slow and Fast Light Switching in Ruby
Rajan, Rajitha Papukutty
Riesen, Hans
NONLINEAR OPTICS AND APPLICATIONS IX, 2015, 9503
[49] Time splitting and linear stability of the slow part of the barotropic component
Morel, Yves
Baraille, Remy
Pichon, Annick
OCEAN MODELLING, 2008, 23 (3-4) : 73 - 81
[50] Stability of discrete-time switching systems with constrained switching sequences
Philippe, Matthew
Essick, Ray
Dullerud, Geir E.
Jungers, Raphael M.
AUTOMATICA, 2016, 72 : 242 - 250

← 1 2 3 4 5 →