DocumentCode
1761507
Title
Brief paper: new result on exponential stability for singular systems with two interval time-varying delays
Author
Huabin Chen ; Peng Hu
Author_Institution
Dept. of Math., Nanchang Univ., Nanchang, China
Volume
7
Issue
15
fYear
2013
fDate
October 17 2013
Firstpage
1941
Lastpage
1949
Abstract
This article mainly studies the problem of the exponential stability for singular systems with two interval time-varying delays. By constructing a modified Lyapunov-Krasovskii functional (LKF) and utilising a convex polyhedron method to estimate the derivative of LKF, some new delay-dependent criteria can be established in terms of linear matrix inequalities. Compared with some existing literatures, the novelties in this study are that the needed decisive variables are fewer and the obtained delay-dependent stability criteria are less conservative. Finally, two illustrative numerical examples are given to show the effectiveness of the derived results.
Keywords
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; stability criteria; time-varying systems; LKF; convex polyhedron method; delay-dependent stability criteria; exponential stability; interval time-varying delays; linear matrix inequalities; modified Lyapunov-Krasovskii functional; singular time-delay systems;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
DOI
10.1049/iet-cta.2013.0396
Filename
6668556
Link To Document