DocumentCode :
808222
Title :
Weighted least squares stationary approximations to linear systems
Author :
Bierman, G.J.
Author_Institution :
Jet Propulsion Laboratories, Pasadena, CA, USA
Volume :
17
Issue :
2
fYear :
1972
fDate :
4/1/1972 12:00:00 AM
Firstpage :
232
Lastpage :
234
Abstract :
The problem of replacing the time-varying linear system 
by a stationary one 
is investigated. The matrix 
is selected so that 
in the interval [ 
]. Several quadratic criteria are proposed to aid in determining suitable candidate systems. One criterion for choosing is initial condition dependent, and another bounds the "worst case" homogeneous system performance. Both of these criteria produce weighted least squares fits to 
.
by a stationary one is investigated. The matrix is selected so that in the interval [ ]. Several quadratic criteria are proposed to aid in determining suitable candidate systems. One criterion for choosing is initial condition dependent, and another bounds the "worst case" homogeneous system performance. Both of these criteria produce weighted least squares fits to .Keywords :
Least-squares approximation; Linear systems, time-varying continuous-time; Control systems; Equations; Least squares approximation; Least squares methods; Linear approximation; Linear systems; Mean square error methods; Navigation; System performance; Time varying systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1972.1099935
Filename :
1099935
Link To Document :
