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.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | The spaces of improper rational matrices and ARMA- systems of fixed McMillan degree |
Autori: | |
Data di pubblicazione: | 1995 |
Rivista: | |
Citazione: | 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. |
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. |
Handle: | http://hdl.handle.net/11567/523719 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |