DocumentCode
864363
Title
An improved stabilization method for linear time-delay systems
Author
Fridman, Emilia ; Shaked, Uri
Author_Institution
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
Volume
47
Issue
11
fYear
2002
fDate
11/1/2002 12:00:00 AM
Firstpage
1931
Lastpage
1937
Abstract
In this paper, we combine a new approach for linear time delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
Keywords
linear matrix inequalities; linear systems; stability; state feedback; time-varying systems; delay-dependent criterion; descriptor representation; linear matrix inequality; linear time-delay systems; norm-bounded types; parameter uncertainty; stabilization method; stabilizing state-feedback design; time-varying delay; Control systems; Delay effects; Delay systems; Design methodology; Linear matrix inequalities; Linear systems; Stability criteria; Time varying systems; Uncertain systems; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2002.804462
Filename
1047026
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