The space of rational matrices with fixed size and degree is shown to have a manifold structure with fibers over a Grassmannian. 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.
The spaces of improper rational matrices and ARMA- systems of fixed McMillan degree / F. De Mari; H. Gluesing-Luerssen. - In: JOURNAL OF MATHEMATICAL SYSTEMS, ESTIMATION, AND CONTROL. - ISSN 1052-0600. - STAMPA. - (1995), pp. 107-110.
The spaces of improper rational matrices and ARMA- systems of fixed McMillan degree
DE MARI CASARETO DAL VERME, FILIPPO;
1995
Abstract
The space of rational matrices with fixed size and degree is shown to have a manifold structure with fibers over a Grassmannian. 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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