DocumentCode
1465090
Title
Improved stability criteria for linear systems with time-varying delay
Author
Sun, Jian ; Liu, G.P. ; Chen, Jiann-Jong ; Rees, David
Author_Institution
Sch. of Autom., Beijing Inst. of Technol., Beijing, China
Volume
4
Issue
4
fYear
2010
fDate
4/1/2010 12:00:00 AM
Firstpage
683
Lastpage
689
Abstract
This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords
Lyapunov methods; control system analysis; delays; linear matrix inequalities; linear systems; stability criteria; Lyapunov functional; delay-range-dependent stability criterion; free-weighting matrices; linear matrix inequality; linear systems; stability analysis; stability criteria; time-varying delay; triple-integral terms;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
DOI
10.1049/iet-cta.2008.0508
Filename
5444347
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