DocumentCode :
830066
Title :
A note on the degenerate discrete-delay system
Author :
Choudhury, A.K.
Author_Institution :
Howard Univ., Washington, DC, USA
Volume :
24
Issue :
4
fYear :
1979
fDate :
8/1/1979 12:00:00 AM
Firstpage :
643
Lastpage :
645
Abstract :
The discrete-delay system 
( 
is invertible, 
is the delay) is said to be degenerate with respect to the vector 
if 
, for all choices of initial points 
. In this note we shall show that if the above system is degenerate, then the minmum value of l0 is ( 
). Given 
, necessary and sufficient conditions are obtained such that the above system is degenerate at 
, and the construction of 
is given in this case. These constructions are used to find delayed state-feedback controls for the linear discrete system to steer the output to zero in a minimum number of steps.
( is invertible, is the delay) is said to be degenerate with respect to the vector if , for all choices of initial points . In this note we shall show that if the above system is degenerate, then the minmum value of l ). Given , necessary and sufficient conditions are obtained such that the above system is degenerate at , and the construction of is given in this case. These constructions are used to find delayed state-feedback controls for the linear discrete system to steer the output to zero in a minimum number of steps.Keywords :
Delay systems; Linear systems, time-invariant discrete-time; Algebra; Automatic control; Costs; Delay; Differential equations; Feedback; Linear systems; Optimal control; Riccati equations; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1102102
Filename :
1102102
Link To Document :
