Spaces of improper rational matrices and ARMA-systems of fixed McMillan degree

Filippo de Mari; Heide Glusing-Luerssen

Spaces of improper rational matrices and ARMA-systems of fixed McMillan degree

Mathematics

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

Abstract

The space of rational matrices with fixed size and degree is shown to have a manifold structure with fibers over a Grassmannian manifold. The fibers are homeomorphic to a suitable space of strictly proper rational matrices. This structure is compatible with Willems' partition of external variables into inputs and outputs.

Original language	English
Pages (from-to)	490-493
Number of pages	4
Journal	Journal of Mathematical Systems, Estimation, and Control
Volume	6
Issue number	4
State	Published - 1996

ASJC Scopus subject areas

Engineering (all)

Cite this

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abstract = "The space of rational matrices with fixed size and degree is shown to have a manifold structure with fibers over a Grassmannian manifold. The fibers are homeomorphic to a suitable space of strictly proper rational matrices. This structure is compatible with Willems' partition of external variables into inputs and outputs.",

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Spaces of improper rational matrices and ARMA-systems of fixed McMillan degree

Abstract

ASJC Scopus subject areas

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