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Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model

Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model
Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model
This paper develops a direct method for transforming a polynomial system matrix describing a discrete wave linear repetitive process to a 2-D singular state-space Roesser model description where all relevant properties, including the zero coprimeness properties of the system matrix, are retained. It is shown that the transformation is zero coprime system equivalence. The structure of the resulting system matrix in singular form and the transformation are also established
0923-6082
103-116
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boudellioua, M.S.
f7526834-22b4-4d5d-982a-73359b8df848
Galkowski, K.
5c165e04-5bd9-42ab-84e7-f236043b0d8e
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boudellioua, M.S.
f7526834-22b4-4d5d-982a-73359b8df848
Galkowski, K.
5c165e04-5bd9-42ab-84e7-f236043b0d8e

Rogers, Eric, Boudellioua, M.S. and Galkowski, K. (2020) Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model. Multidimensional Systems and Signal Processing, 31, 103-116. (doi:10.1007/s11045-019-00654-7).

Record type: Article

Abstract

This paper develops a direct method for transforming a polynomial system matrix describing a discrete wave linear repetitive process to a 2-D singular state-space Roesser model description where all relevant properties, including the zero coprimeness properties of the system matrix, are retained. It is shown that the transformation is zero coprime system equivalence. The structure of the resulting system matrix in singular form and the transformation are also established

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Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model - Accepted Manuscript
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Accepted/In Press date: 26 April 2019
e-pub ahead of print date: 4 May 2019
Published date: January 2020
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Identifiers

Local EPrints ID: 431846
URI: http://eprints.soton.ac.uk/id/eprint/431846
DOI: doi:10.1007/s11045-019-00654-7
ISSN: 0923-6082
PURE UUID: 69da3800-4507-469e-bbb0-ec0d3ea4571b
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 19 Jun 2019 16:30
Last modified: 16 Mar 2024 07:56

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Contributors

Author: Eric Rogers ORCID iD
Author: M.S. Boudellioua
Author: K. Galkowski

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