DocumentCode
1109471
Title
A simple algorithm on minimal balanced realization for transfer function matrices
Author
Yang, Cian-dong ; Yeh, F.-B.
Author_Institution
Dept. of Aeronaut. & Astronaut., Nat. Cheng Kung Univ., Tainan, Taiwan
Volume
34
Issue
8
fYear
1989
fDate
8/1/1989 12:00:00 AM
Firstpage
879
Lastpage
882
Abstract
Given a transfer function matrix, it is shown that its minimal balanced realization can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on the close relationship of controllability and the observability gramians to the singular value decomposition of the associated infinite block Hankel matrix
Keywords
controllability; matrix algebra; observability; polynomials; transfer functions; controllability; infinite block Hankel matrix; least common denominator polynomial; minimal balanced realization; observability gramians; singular value decomposition; singular values; singular vectors; transfer function matrices; Controllability; Mathematics; Matrix decomposition; Observability; Polynomials; Reduced order systems; Singular value decomposition; Symmetric matrices; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.29432
Filename
29432
Link To Document