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
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