Stability analysis of continuous-time switched systems with a random switching signal

Junlin Xiong; James Lam; Zhan Shu; Xuerong Mao

doi:10.1109/TAC.2013.2266751

Stability analysis of continuous-time switched systems with a random switching signal

Junlin Xiong, James Lam, Zhan Shu, Xuerong Mao

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

98 Citations (Scopus)

236 Downloads (Pure)

Abstract

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide
with our intuition.

Original language	English
Pages (from-to)	180-186
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	1
Early online date	6 Jun 2013
DOIs	https://doi.org/10.1109/TAC.2013.2266751
Publication status	Published - Jan 2014

Keywords

dwell time
random switching
stochastic stability
continuous-time switched systems
linear matrix inequalities

Access to Document

10.1109/TAC.2013.2266751

Xiong-etal-AC2014-stability-analysis-of-continuous-time-switched-systemsAccepted author manuscript, 718 KB

Cite this

@article{4e1d665aa328465e985bfb72e4a23eae,

title = "Stability analysis of continuous-time switched systems with a random switching signal",

abstract = "This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition.",

keywords = "dwell time, random switching, stochastic stability, continuous-time switched systems, linear matrix inequalities",

author = "Junlin Xiong and James Lam and Zhan Shu and Xuerong Mao",

note = "(c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.",

year = "2014",

month = jan,

doi = "10.1109/TAC.2013.2266751",

language = "English",

volume = "59",

pages = "180--186",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

number = "1",

}

TY - JOUR

T1 - Stability analysis of continuous-time switched systems with a random switching signal

AU - Xiong, Junlin

AU - Lam, James

AU - Shu, Zhan

AU - Mao, Xuerong

N1 - (c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.

PY - 2014/1

Y1 - 2014/1

N2 - This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition.

AB - This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition.

KW - dwell time

KW - random switching

KW - stochastic stability

KW - continuous-time switched systems

KW - linear matrix inequalities

UR - http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9

U2 - 10.1109/TAC.2013.2266751

DO - 10.1109/TAC.2013.2266751

M3 - Article

SN - 0018-9286

VL - 59

SP - 180

EP - 186

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 1

ER -

Stability analysis of continuous-time switched systems with a random switching signal

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this