DocumentCode :
78622
Title :
Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays
Author :
Le Van Hien ; Le Huy Vu ; Vu Ngoc Phat
Author_Institution :
Dept. of Math., Hanoi Nat. Univ. of Educ., Hanoi, Vietnam
Volume :
9
Issue :
9
fYear :
2015
fDate :
6 6 2015
Firstpage :
1364
Lastpage :
1372
Abstract :
This study deals with the problem of exponential stability analysis for a class of singular systems with interval time-varying discrete and distributed delays. By constructing a set of improved Lyapunov-Krasovskii functionals, new delay-dependent conditions are established in terms of linear matrix inequalities ensuring the regularity, impulse free and exponential stability of the system. This approach allows the authors to compute simultaneously the two bounds that characterise the exponential stability rate of the solution by various efficient convex optimisation algorithms. Numerical examples are given to illustrate the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; convex programming; delays; linear matrix inequalities; time-varying systems; convex optimisation algorithm; improved Lyapunov-Krasovskii functional; improved delay-dependent exponential stability; interval time-varying discrete delay; interval time-varying distributed delay; linear matrix inequalities; mixed interval time-varying delay; singular systems;
fLanguage :
English
Journal_Title :
Control Theory & Applications, IET
Publisher :
iet
ISSN :
1751-8644
Type :
jour
DOI :
10.1049/iet-cta.2014.0731
Filename :
7112878
Link To Document :
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