TY - JOUR
T1 - Spaces of improper rational matrices and ARMA-systems of fixed McMillan degree
AU - de Mari, Filippo
AU - Glusing-Luerssen, Heide
N1 - Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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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M3 - Article
AN - SCOPUS:0029746289
SN - 1052-0600
VL - 6
SP - 490
EP - 493
JO - Journal of Mathematical Systems, Estimation, and Control
JF - Journal of Mathematical Systems, Estimation, and Control
IS - 4
ER -