DocumentCode
870181
Title
Two theorems regarding the state-space realisation of the transfer-function matrix Z(s)
Author
Younis, M.I. ; Vogt, W.G.
Author_Institution
University of Pittsburgh, Electrical Engineering Department, Pittsburgh, USA
Volume
2
Issue
11
fYear
1966
fDate
11/1/1966 12:00:00 AM
Firstpage
421
Lastpage
422
Abstract
This letter shows the independence of the matrix products (CAiB, i = 1, 2, ¿) from any state-space realisation of the infinite number of possible realisations1,2 of a transfer-function matrix Z (s). In addition, it shows that, in the sequnce (Z1, Z2, ¿) derived from Z(s), only the first M can be linearly independent, where M is the degree of the minimum polynomial of A.
Keywords
analysis and synthesis methods; automatic control; control engineering; mathematics; multivariable systems; networks (circuits); oscillations;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el:19660354
Filename
4207019
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