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Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory

Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory
Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory

This paper considers a class of spatially interconnected systems formed by ladder circuits using two-dimensional systems theory. The individual circuits in this class are described by hybrid (continuous/discrete) linear differential/difference equations in time (continuous) and spatial (discrete) variables and therefore have a two-dimensional systems structure. This paper shows that a ladder circuit model and models for 2-D dynamics have a well defined equivalence property and hence analysis tools can be transferred between them. Also the mechanism for transforming one to the other is established.

Ladder circuit networks, Spatially interconnected systems, Two-dimensional systems, Zero coprime system equivalence
0923-6082
1-13
Boudellioua, Mohamed S.
b65b2ac1-4057-40d0-9073-3645628ff6e4
Galkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boudellioua, Mohamed S.
b65b2ac1-4057-40d0-9073-3645628ff6e4
Galkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Boudellioua, Mohamed S., Galkowski, Krzysztof and Rogers, Eric (2019) Characterization of a class of spatially interconnected systems (ladder circuits) using two-dimensional systems theory. Multidimensional Systems and Signal Processing, 1-13. (doi:10.1007/s11045-019-00644-9).

Record type: Article

Abstract

This paper considers a class of spatially interconnected systems formed by ladder circuits using two-dimensional systems theory. The individual circuits in this class are described by hybrid (continuous/discrete) linear differential/difference equations in time (continuous) and spatial (discrete) variables and therefore have a two-dimensional systems structure. This paper shows that a ladder circuit model and models for 2-D dynamics have a well defined equivalence property and hence analysis tools can be transferred between them. Also the mechanism for transforming one to the other is established.

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Boudellioua 2019 Article Characterization Of A Class - Version of Record
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More information

Accepted/In Press date: 1 April 2019
e-pub ahead of print date: 16 April 2019
Keywords: Ladder circuit networks, Spatially interconnected systems, Two-dimensional systems, Zero coprime system equivalence

Identifiers

Local EPrints ID: 430740
URI: http://eprints.soton.ac.uk/id/eprint/430740
ISSN: 0923-6082
PURE UUID: 893207fb-c80c-438c-8974-b65a95d8ba8c
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 10 May 2019 16:30
Last modified: 07 Oct 2020 01:34

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Contributors

Author: Mohamed S. Boudellioua
Author: Krzysztof Galkowski
Author: Eric Rogers ORCID iD

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