DocumentCode
1501521
Title
On matrix fraction descriptions of multivariable linear n -D systems
Author
Lin, Zhiping
Volume
35
Issue
10
fYear
1988
fDate
10/1/1988 12:00:00 AM
Firstpage
1317
Lastpage
1322
Abstract
An examination is presented of a matrix fraction description (MFD) of multivariable linear n -D (n ⩾3) systems. By introducing a concept called generating polynomials, several interesting properties of n -D polynomial and rational matrices in connection with MFDs of n -D have been obtained. These properties do not occur in the 1-D and 2-D cases, which explains to some extent the difficulties encountered in the analysis of n -D systems. As an application of the generating polynomials, a stability test is presented for multivariable linear discrete n -D systems
Keywords
discrete systems; linear systems; matrix algebra; multidimensional systems; multivariable systems; polynomials; stability; discrete nD systems; generating polynomials; matrix fraction descriptions; multidimensional systems; multivariable linear systems; rational matrices; stability test; Active filters; Algorithm design and analysis; Circuit optimization; Digital filters; Least squares methods; Notice of Violation; Polynomials; Regression analysis; Stability; System testing;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.7606
Filename
7606
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