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

DE MARI CASARETO DAL VERME, FILIPPO;
1995-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/523719
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