DocumentCode
1308049
Title
On robustness and stabilization of linear systems with delayed nonlinear perturbations
Author
Trinh, H. ; Aldeen, M.
Author_Institution
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Volume
42
Issue
7
fYear
1997
fDate
7/1/1997 12:00:00 AM
Firstpage
1005
Lastpage
1007
Abstract
In this paper, by employing a Razumikhin-type theorem, a robust stability criterion for a class of linear systems subject to delayed time-varying nonlinear perturbations is given. Then, stabilization of a class of linear systems subject to mismatched delayed time-varying nonlinear perturbations by linear controller is considered. For such systems, conditions which ensure closed-loop asymptotic stability are given. Numerical examples are given to illustrate the results
Keywords
asymptotic stability; closed loop systems; delay systems; linear systems; robust control; time-varying systems; Razumikhin-type theorem; closed-loop asymptotic stability; linear controller; linear systems; mismatched delayed time-varying nonlinear perturbations; robust stability criterion; robustness; stabilization; Asymptotic stability; Control systems; Delay lines; Delay systems; Linear systems; Nonlinear control systems; Robust stability; Robustness; Symmetric matrices; Time varying systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.599983
Filename
599983
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