Stability and L2-gain analysis for switched delay systems: A delay-dependent method

Xi Ming Sun; Jun Zhao; David J. Hill

doi:10.1016/j.automatica.2006.05.007

Stability and L₂-gain analysis for switched delay systems: A delay-dependent method

Xi Ming Sun, Jun Zhao, David J. Hill

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

805 Citations (Scopus)

Abstract

In this paper, we study stability and L₂-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L₂-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L₂-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

Original language	English
Pages (from-to)	1769-1774
Number of pages	6
Journal	Automatica
Volume	42
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2006.05.007
Publication status	Published - Oct 2006
Externally published	Yes

Keywords

Delay-dependent
Exponential stability
L-gain
Switched delay systems

Access to Document

10.1016/j.automatica.2006.05.007

Cite this

@article{6869c8b80abc40a19327f07fade684be,

title = "Stability and L2-gain analysis for switched delay systems: A delay-dependent method",

abstract = "In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.",

keywords = "Delay-dependent, Exponential stability, L-gain, Switched delay systems",

author = "Sun, \{Xi Ming\} and Jun Zhao and Hill, \{David J.\}",

note = "Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Dragan Nesic under the direction of Editor Hassan Khalil. This work was supported by the NSF of China under Grant 60574013. ",

year = "2006",

month = oct,

doi = "10.1016/j.automatica.2006.05.007",

language = "English",

volume = "42",

pages = "1769--1774",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier",

number = "10",

}

TY - JOUR

T1 - Stability and L2-gain analysis for switched delay systems

T2 - A delay-dependent method

AU - Sun, Xi Ming

AU - Zhao, Jun

AU - Hill, David J.

N1 - Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Dragan Nesic under the direction of Editor Hassan Khalil. This work was supported by the NSF of China under Grant 60574013.

PY - 2006/10

Y1 - 2006/10

N2 - In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

AB - In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

KW - Delay-dependent

KW - Exponential stability

KW - L-gain

KW - Switched delay systems

UR - https://www.scopus.com/pages/publications/33747794306

U2 - 10.1016/j.automatica.2006.05.007

DO - 10.1016/j.automatica.2006.05.007

M3 - Article

AN - SCOPUS:33747794306

SN - 0005-1098

VL - 42

SP - 1769

EP - 1774

JO - Automatica

JF - Automatica

IS - 10