DocumentCode
1456981
Title
Stability of time-delay systems: equivalence between Lyapunov and scaled small-gain conditions
Author
Zhang, Jianrong ; Knopse, Carl R. ; Tsiotras, Panagiotis
Author_Institution
Dept. of Mech. & Aerosp. Eng., Virginia Univ., Charlottesville, VA, USA
Volume
46
Issue
3
fYear
2001
fDate
3/1/2001 12:00:00 AM
Firstpage
482
Lastpage
486
Abstract
It is demonstrated that many previously reported Lyapunov-based stability conditions for time-delay systems are equivalent to the robust stability analysis of an uncertain comparison system free of delays via the use of the scaled small-gain lemma with constant scales. The novelty of this note stems from the fact that it unifies several existing stability results under the same framework. In addition, it offers insights on how new, less conservative results can be developed
Keywords
Lyapunov methods; control system analysis; delay systems; robust control; stability criteria; uncertain systems; Lyapunov-based stability conditions; robust stability analysis; scaled small-gain conditions; time-delay systems; uncertain comparison system; Aerospace engineering; Delay systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Robust stability; Stability analysis; Sufficient conditions; Testing; Time domain analysis; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.911428
Filename
911428
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