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Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes

Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes
Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes
The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.
0020-3270
. Boudellioua, M S
0c8c4351-086b-4e25-923b-26d50cddae1e
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
. Boudellioua, M S
0c8c4351-086b-4e25-923b-26d50cddae1e
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

. Boudellioua, M S, Galkowski, K and Rogers, Eric (2018) Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes. International Journal of Control, 91 (12). (doi:10.1080/00207179.2017.1414307).

Record type: Article

Abstract

The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.

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Equivalent 2-D nonsingular Roesser models for - Accepted Manuscript
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Accepted/In Press date: 28 November 2017
e-pub ahead of print date: 26 December 2017
Published date: 2 December 2018

Identifiers

Local EPrints ID: 417215
URI: https://eprints.soton.ac.uk/id/eprint/417215
ISSN: 0020-3270
PURE UUID: 14441015-706f-4095-bd31-283f85a1f338

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Date deposited: 25 Jan 2018 17:30
Last modified: 14 Mar 2019 05:18

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