DocumentCode
12059
Title
Brief paper: new results on stability analysis for neutral stochastic linear system
Author
Huabin Chen
Author_Institution
Dept. of Math., Nanchang Univ., Nanchang, China
Volume
7
Issue
13
fYear
2013
fDate
September 5 2013
Firstpage
1753
Lastpage
1764
Abstract
In this study, the problem for the robustly exponential stability in mean square moment of uncertain neutral stochastic linear system with mixed time-varying delays is considered. By constructing an augmented Lyapunov-Krasovskii functional and utilising a convex polyhedron method, some new delay-dependent exponential stability criteria for such system are established in forms of linear matrix inequalities, which have less conservatism. Finally, three illustrative numerical examples are given to show the effectiveness of the obtained results.
Keywords
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; linear systems; neurocontrollers; robust control; stability criteria; stochastic systems; uncertain systems; augmented Lyapunov-Krasovskii functional; convex polyhedron method; delay-dependent exponential stability criteria; linear matrix inequalities; mean square moment; mixed time-varying delays; robustly exponential stability; stability analysis; uncertain neutral stochastic linear system;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
DOI
10.1049/iet-cta.2013.0008
Filename
6601044
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