A cell structure for the set of autoregressive systems

Xiaochang Wang; Joachim Rosenthal

doi:10.1016/0024-3795(94)90384-0

A cell structure for the set of autoregressive systems

Xiaochang Wang, Joachim Rosenthal

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	1203-1225
Number of pages	23
Journal	Linear Algebra and Its Applications
Volume	205-206
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(94)90384-0
State	Published - 1994

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title = "A cell structure for the set of autoregressive systems",

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.",

author = "Xiaochang Wang and Joachim Rosenthal",

note = "Funding Information: in part by the Research Enhancement",

year = "1994",

doi = "10.1016/0024-3795(94)90384-0",

language = "English",

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AU - Wang, Xiaochang

AU - Rosenthal, Joachim

N1 - Funding Information: in part by the Research Enhancement

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Y1 - 1994

N2 - 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.

AB - 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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U2 - 10.1016/0024-3795(94)90384-0

DO - 10.1016/0024-3795(94)90384-0

M3 - Article

AN - SCOPUS:21344477156

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VL - 205-206

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

A cell structure for the set of autoregressive systems

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