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Constructing the singular Roesser state-space model description of 3D spatio-temporal dynamics from the polynomial system matrix

Constructing the singular Roesser state-space model description of 3D spatio-temporal dynamics from the polynomial system matrix
Constructing the singular Roesser state-space model description of 3D spatio-temporal dynamics from the polynomial system matrix
This paper considers systems theoretic properties of linear systems defined in terms of spatial and temporal indeterminates. These include physical applications where one of the indeterminates is of finite duration. In some cases, a singular Roesser state-space model representation of the dynamics has found use in characterizing systems theoretic properties. The representation of the dynamics of many linear systems is obtained in terms of transform variables and a polynomial system matrix representation. This paper develops a direct method for constructing the singular Roesser state-space realization from the system matrix description for 3D systems such that relevant properties are retained. Since this method developed relies on basic linear algebra operations, it may be highly effective from the computational standpoint. In particular, spatially interconnected systems of the form of the ladder circuits are considered as the example. This application confirms the usefulness and effectiveness of the proposed method independently of the system spatial order.
2169-3536
45632 - 45641
Boudellioua, Mohamed S.
b65b2ac1-4057-40d0-9073-3645628ff6e4
Sulikowski, Bartłomiej
770f91c6-2587-4833-a2df-975a8c81196f
Gałkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Boudellioua, Mohamed S.
b65b2ac1-4057-40d0-9073-3645628ff6e4
Sulikowski, Bartłomiej
770f91c6-2587-4833-a2df-975a8c81196f
Gałkowski, Krzysztof
ce0d0509-675e-4d30-b2c4-2ca46c22dbe5
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Boudellioua, Mohamed S., Sulikowski, Bartłomiej, Gałkowski, Krzysztof and Rogers, Eric (2021) Constructing the singular Roesser state-space model description of 3D spatio-temporal dynamics from the polynomial system matrix. IEEE Access, 9, 45632 - 45641. (doi:10.1109/ACCESS.2021.3065747).

Record type: Article

Abstract

This paper considers systems theoretic properties of linear systems defined in terms of spatial and temporal indeterminates. These include physical applications where one of the indeterminates is of finite duration. In some cases, a singular Roesser state-space model representation of the dynamics has found use in characterizing systems theoretic properties. The representation of the dynamics of many linear systems is obtained in terms of transform variables and a polynomial system matrix representation. This paper develops a direct method for constructing the singular Roesser state-space realization from the system matrix description for 3D systems such that relevant properties are retained. Since this method developed relies on basic linear algebra operations, it may be highly effective from the computational standpoint. In particular, spatially interconnected systems of the form of the ladder circuits are considered as the example. This application confirms the usefulness and effectiveness of the proposed method independently of the system spatial order.

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Published date: 12 March 2021

Identifiers

Local EPrints ID: 454883
URI: http://eprints.soton.ac.uk/id/eprint/454883
ISSN: 2169-3536
PURE UUID: dda437f5-4d7f-48de-b671-6a4e0b62bd31
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 01 Mar 2022 17:32
Last modified: 28 Apr 2022 01:35

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Contributors

Author: Mohamed S. Boudellioua
Author: Bartłomiej Sulikowski
Author: Krzysztof Gałkowski
Author: Eric Rogers ORCID iD

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