DocumentCode
581775
Title
On stability of linear systems with time-varying delay
Author
Haofei, Meng ; Yu, Kang ; Dihua, Zhai
Author_Institution
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China
fYear
2012
fDate
25-27 July 2012
Firstpage
1499
Lastpage
1504
Abstract
This paper is concerned with the stability analysis of linear systems with time-varying delay in a given range. We construct different Lyapunov functionals when the time-varying delay belongs to different intervals. Combined with the piece-wise analysis method and the convexity properties of matrix inequality, some new criteria are derived in terms of linear matrix inequalities. Some numerical examples show the effectiveness of the derived criteria.
Keywords
Lyapunov methods; delays; linear matrix inequalities; linear systems; stability; Lyapunov functionals; convexity property; linear matrix inequalities; linear system stability analysis; piecewise analysis method; time-varying delay; Delay; Delay effects; Linear matrix inequalities; Stability criteria; Time varying systems; Upper bound; Delay-dependent Stability; Linear Matrix Inequality(LMI); Lyapunov-Krasovskii Functionals(LKFs); Piecewise Analysis Method(PAM); Time-varying Delay;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2012 31st Chinese
Conference_Location
Hefei
ISSN
1934-1768
Print_ISBN
978-1-4673-2581-3
Type
conf
Filename
6390163
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