DocumentCode
1247403
Title
Improved delay-dependent stability criteria for time-delay systems
Author
Xu, Shengyuan ; Lam, James
Author_Institution
Dept. of Autom., Nanjing Univ. of Sci. & Technol., China
Volume
50
Issue
3
fYear
2005
fDate
3/1/2005 12:00:00 AM
Firstpage
384
Lastpage
387
Abstract
This note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.
Keywords
asymptotic stability; delay systems; linear matrix inequalities; stability criteria; asymptotic stability; delay-dependent stability criteria; linear matrix inequality; time-delay systems; time-varying norm-bounded uncertainties; Asymptotic stability; Delay systems; Linear matrix inequalities; Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Time varying systems; Uncertain systems; Uncertainty; Delay-dependent condition; linear matrix inequality (LMI); time-delay systems; uncertain systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.843873
Filename
1406133
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