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On the connection between discrete linear repetitive processes and 2-D discrete linear systems

On the connection between discrete linear repetitive processes and 2-D discrete linear systems
On the connection between discrete linear repetitive processes and 2-D discrete linear systems
A direct method is developed that reduces a polynomial system matrix describing
a discrete linear repetitive process to a 2-D singular state-space form such that all the relevant properties, including the zero structure of the system matrix, are retained. It is shown that the transformation linking the original polynomial system matrix with its associated 2-D singular form is zero coprime system equivalence. The exact nature of the resulting system matrix in singular form and the transformation involved are established.
1-11
Boudellioua, M. S.
0c8c4351-086b-4e25-923b-26d50cddae1e
Galkowski, K.
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Boudellioua, M. S.
0c8c4351-086b-4e25-923b-26d50cddae1e
Galkowski, K.
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72

Boudellioua, M. S., Galkowski, K. and Rogers, E. (2017) On the connection between discrete linear repetitive processes and 2-D discrete linear systems. Multidimensional Systems and Signal Processing, 1-11. (doi:10.1007/s11045-016-0454-8).

Record type: Article

Abstract

A direct method is developed that reduces a polynomial system matrix describing
a discrete linear repetitive process to a 2-D singular state-space form such that all the relevant properties, including the zero structure of the system matrix, are retained. It is shown that the transformation linking the original polynomial system matrix with its associated 2-D singular form is zero coprime system equivalence. The exact nature of the resulting system matrix in singular form and the transformation involved are established.

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Accepted/In Press date: 9 September 2016
e-pub ahead of print date: 19 September 2016
Published date: January 2017
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 403773
URI: http://eprints.soton.ac.uk/id/eprint/403773
PURE UUID: 876eb408-ffc0-4e13-8afc-567ee110c85a
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 09 Dec 2016 15:49
Last modified: 17 Dec 2019 02:02

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