DocumentCode
1506531
Title
Stability of some linear systems with delays
Author
Richard, J.-P.
Volume
44
Issue
5
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
984
Lastpage
989
Abstract
Asymptotic stability of a class of linear equations with arbitrary discrete and distributed delays is investigated. Both delay-independent and delay-dependent stability conditions are formulated in terms of existence of positive definite solutions to Riccati matrix equations. The approach of deriving various Riccati equations using the direct Lyapunov method is proposed
Keywords
Lyapunov methods; Riccati equations; asymptotic stability; delay systems; distributed parameter systems; linear systems; matrix algebra; Riccati equations; asymptotic stability; delay systems; direct Lyapunov method; hereditary systems; linear systems; matrix algebra; Asymptotic stability; Concrete; Delay lines; Delay systems; Differential equations; Linear matrix inequalities; Linear systems; Lyapunov method; Riccati equations; Robust stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.763213
Filename
763213
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