DocumentCode
790788
Title
The asymptotic stability of linear autonomous systems with commensurate time delays
Author
Su, Juing-Huei
Author_Institution
Mil. Integrated Commun. Command, Panchiao, Taiwan
Volume
40
Issue
6
fYear
1995
fDate
6/1/1995 12:00:00 AM
Firstpage
1114
Lastpage
1117
Abstract
The asymptotic stability of linear systems with commensurate time delays is studied. Algorithms are given to check if a given system is asymptotically stable independent of delay or to determine the largest delay time the system can tolerate to preserve its asymptotic stability. These algorithms are simple to apply since they require only to find the eigenvalues of two specially constructed matrices and some simple mathematical calculations
Keywords
asymptotic stability; delay systems; delays; eigenvalues and eigenfunctions; asymptotic stability; commensurate time delays; eigenvalues; linear autonomous systems; Asymptotic stability; Control systems; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Linear systems; Polynomials; Stability criteria; Sufficient conditions; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.388696
Filename
388696
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