DocumentCode
842026
Title
Control to equilibrium of linear delay-differential systems
Author
Olbrot, Andrzej W.
Author_Institution
Warsaw Technical University, Warsaw, Poland
Volume
28
Issue
4
fYear
1983
fDate
4/1/1983 12:00:00 AM
Firstpage
521
Lastpage
523
Abstract
A linear time-invariant system with commensurate delays is considered. The system is characterized by two matrices 
and 
over ![R[d]](/images/tex/3197.gif)
(polynominal in the delay operator 
). It is assumed that the pair ( 
) is reachable over the ring . A constructive procedure is derived which, for any initial conditions, finds a solution to system equations such that both the control and the state trajectory become zero identically after some finite time.
and over (polynominal in the delay operator ). It is assumed that the pair ( ) is reachable over the ring . A constructive procedure is derived which, for any initial conditions, finds a solution to system equations such that both the control and the state trajectory become zero identically after some finite time.Keywords
Delay systems, linear; Control systems; Control theory; Controllability; Delay lines; Delay systems; Laplace equations; Linear systems; Polynomials; Sufficient conditions; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1983.1103261
Filename
1103261
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