Infinite-frequency structure and a certain matrix Laurent expansion

A method for determining the Smith-McMillan form at infinity of a rational matrix is derived by considering the Laurent expansion at infinity of the matrix. This method is used to provide a new test for the absence of infinite zeros in a rational matrix and a new formula for calculating the highest...

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Bibliographic Details
Published in:International journal of control 1989-11, Vol.50 (5), p.1793-1805
Main Authors: PUGH, A. C., JONES, E. R. L., DEMIANCZUK, O., HAYTON, G. E.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
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Summary:A method for determining the Smith-McMillan form at infinity of a rational matrix is derived by considering the Laurent expansion at infinity of the matrix. This method is used to provide a new test for the absence of infinite zeros in a rational matrix and a new formula for calculating the highest degree among the largest minors of a polynomial matrix.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178908953466