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A cell structure for the set of autoregressive systems


Wang, X; Rosenthal, J (1994). A cell structure for the set of autoregressive systems. Linear Algebra and its Applications, 205/20:1203-1225.

Abstract

The set of autoregressive systems generalizes the set of transfer functionsin a natural way. We describe a topology for the set of all autoregressive systems of fixed size and bounded McMillan degree. We show that this topological space has the structure of a finite CW complex.

Abstract

The set of autoregressive systems generalizes the set of transfer functionsin a natural way. We describe a topology for the set of all autoregressive systems of fixed size and bounded McMillan degree. We show that this topological space has the structure of a finite CW complex.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Physical Sciences > Numerical Analysis
Physical Sciences > Geometry and Topology
Physical Sciences > Discrete Mathematics and Combinatorics
Uncontrolled Keywords:Topological structure , Transfer function , Linear system , Dynamical system , Polynomial matrix , Autoregressive system,
Language:English
Date:1994
Deposited On:19 Mar 2010 16:53
Last Modified:29 Jul 2020 19:50
Publisher:Elsevier
ISSN:0024-3795
OA Status:Green
Publisher DOI:https://doi.org/10.1016/0024-3795(94)90384-0

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