Generalized Bezoutian and Sylvester Matrices in Multivariable Linear Control

Brian D.O. Anderson; E. I. Jury

doi:10.1109/TAC.1976.1101263

Generalized Bezoutian and Sylvester Matrices in Multivariable Linear Control

Brian D.O. Anderson, E. I. Jury

Research output: Contribution to journal › Article › peer-review

92 Citations (Scopus)

Abstract

Generalized Bezoutian and Sylvester matrices are defined and discussed in this short paper. The relationship between these two forms of matrices is established. It is shown that the McMillan degree of a real rational function can be ascertained by checking the rank of either one of these generalized matrices formed using a polynomial matrix fraction decomposition of the prescribed transfer function matrix. Earlier established results by Rowe and Munro are obtained as a special case. Several theorems related to the rank testing and other properties of the generalized matrices are discussed and various research problems are listed in the conclusion.

Original language	English
Pages (from-to)	551-556
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	21
Issue number	4
DOIs	https://doi.org/10.1109/TAC.1976.1101263
Publication status	Published - Aug 1976
Externally published	Yes

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10.1109/TAC.1976.1101263

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Generalized Bezoutian and Sylvester Matrices in Multivariable Linear Control

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