DocumentCode
1066291
Title
Stability of x (t )=Ax (t )+Bx (t -τ)
Author
Mori, T. ; Kokame, H.
Author_Institution
Autom. Res. Lab., Kyoto Univ., Japan
Volume
34
Issue
4
fYear
1989
fDate
4/1/1989 12:00:00 AM
Firstpage
460
Lastpage
462
Abstract
A stability criterion for linear time-delay systems described by a differential difference equation of the form dx (t )=Ax (t )+Bx (t -τ) is proposed. The result obtained includes information on the size of the delay and therefore can be a delay-dependent stability condition. Its relation to existing delay-independent stability criteria is also discussed
Keywords
delays; differential equations; linear systems; stability criteria; delay-dependent stability; differential difference equation; linear time-delay systems; stability criterion; Automation; Delay; Difference equations; Differential equations; Eigenvalues and eigenfunctions; Laboratories; Linear matrix inequalities; Magnetooptic recording; Stability criteria; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.28025
Filename
28025
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