DocumentCode
811781
Title
On the 
-matrix system representation
Author
Audley, David R. ; Rugh, Wilson J.
Author_Institution
Aerospace Research Laboratory, Wright-Patterson AFB, OH, USA
Volume
18
Issue
3
fYear
1973
fDate
6/1/1973 12:00:00 AM
Firstpage
235
Lastpage
242
Abstract
The -matrix representation of the input/output behavior of an asymptotically stable constant parameter linear system is discussed. The concept of a canonical representation and the measurements required to determine this representation directly are treated. The minimal complete realization problem is solved for the -matrix representation based on exponential signals, and connections between this approach and the identification and realization theories based on the Hankel matrix of Markov parameters are exhibited.
-matrix representation of the input/output behavior of an asymptotically stable constant parameter linear system is discussed. The concept of a canonical representation and the measurements required to determine this representation directly are treated. The minimal complete realization problem is solved for the -matrix representation based on exponential signals, and connections between this approach and the identification and realization theories based on the Hankel matrix of Markov parameters are exhibited.Keywords
Linear systems, time-invariant discrete-time; Minimal realizations; Aerospace engineering; Ear; Eigenvalues and eigenfunctions; Helium; Hilbert space; Kalman filters; Laboratories; Linear systems; Mathematical model; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1973.1100285
Filename
1100285
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