DocumentCode :
810161
Title :
Two results on optimal modeling with differential-delay systems
Author :
Freedman, Marvvin I.
Author_Institution :
Boston University, Boston, MA, USA
Volume :
17
Issue :
5
fYear :
1972
fDate :
10/1/1972 12:00:00 AM
Firstpage :
678
Lastpage :
680
Abstract :
Let 
be a fixed causal filter. The first result of this paper shows that for any positive integer 
and any delay time 
there is an "optimal model" for out of the class of differential-delay systems of order 
(and utilizing delay 
). The second and main result shows that unless corresponds exactly to a purely differential system of order then there always exists some delay time and corresponding differential-delay system of order that is a better model for than even the optimal purely differential system of order .
be a fixed causal filter. The first result of this paper shows that for any positive integer and any delay time there is an "optimal model" for out of the class of differential-delay systems of order (and utilizing delay ). The second and main result shows that unless corresponds exactly to a purely differential system of order then there always exists some delay time and corresponding differential-delay system of order that is a better model for than even the optimal purely differential system of order .Keywords :
Approximation methods; Time-delay systems; Transfer functions; Delay effects; Delay systems; Equations; Filters; Fourier transforms; Least squares approximation; Least squares methods; Numerical analysis; Polynomials; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1100125
Filename :
1100125
Link To Document :
