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
Link To Document :
