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

M. S. Boudellioua; K. Galkowski; E. Rogers

doi:10.1007/s11045-019-00654-7

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

M. S. Boudellioua^*, K. Galkowski, E. Rogers

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	103-116
Number of pages	14
Journal	Multidimensional Systems and Signal Processing
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s11045-019-00654-7
Publication status	Published - Jan 1 2020

Keywords

2-D discrete systems
2-D singular Roesser form
Linear wave repetitive processes
System matrix
Zero-coprime system equivalence

ASJC Scopus subject areas

Software
Signal Processing
Information Systems
Hardware and Architecture
Computer Science Applications
Artificial Intelligence
Applied Mathematics

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10.1007/s11045-019-00654-7

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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.",

keywords = "2-D discrete systems, 2-D singular Roesser form, Linear wave repetitive processes, System matrix, Zero-coprime system equivalence",

author = "Boudellioua, {M. S.} and K. Galkowski and E. Rogers",

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AU - Rogers, E.

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N2 - 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.

AB - 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.

KW - 2-D discrete systems

KW - 2-D singular Roesser form

KW - Linear wave repetitive processes

KW - System matrix

KW - Zero-coprime system equivalence

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

Abstract

Keywords

ASJC Scopus subject areas

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