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

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

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)341-351
Number of pages11
JournalMultidimensional Systems and Signal Processing
Volume28
Issue number1
DOIs
Publication statusPublished - Jan 1 2017

Fingerprint

Discrete Systems
Linear systems
Linear Systems
Polynomial Systems
Polynomials
Coprime
Space Form
Zero
Direct Method
Linking
State Space
Equivalence
Form

Keywords

  • 2-D discrete systems
  • 2-D singular form
  • Invariant zeros
  • Linear 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

Cite this

On the connection between discrete linear repetitive processes and 2-D discrete linear systems. / Boudellioua, M. S.; Galkowski, K.; Rogers, E.

In: Multidimensional Systems and Signal Processing, Vol. 28, No. 1, 01.01.2017, p. 341-351.

Research output: Contribution to journalArticle

@article{a1c80ed79c65420bad22f37caa8106e8,
title = "On the connection between discrete linear repetitive processes and 2-D discrete linear systems",
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.",
keywords = "2-D discrete systems, 2-D singular form, Invariant zeros, Linear repetitive processes, System matrix, Zero-coprime system equivalence",
author = "Boudellioua, {M. S.} and K. Galkowski and E. Rogers",
year = "2017",
month = "1",
day = "1",
doi = "10.1007/s11045-016-0454-8",
language = "English",
volume = "28",
pages = "341--351",
journal = "Multidimensional Systems and Signal Processing",
issn = "0923-6082",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - On the connection between discrete linear repetitive processes and 2-D discrete linear systems

AU - Boudellioua, M. S.

AU - Galkowski, K.

AU - Rogers, E.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - 2-D discrete systems

KW - 2-D singular form

KW - Invariant zeros

KW - Linear repetitive processes

KW - System matrix

KW - Zero-coprime system equivalence

UR - http://www.scopus.com/inward/record.url?scp=84988354351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988354351&partnerID=8YFLogxK

U2 - 10.1007/s11045-016-0454-8

DO - 10.1007/s11045-016-0454-8

M3 - Article

AN - SCOPUS:84988354351

VL - 28

SP - 341

EP - 351

JO - Multidimensional Systems and Signal Processing

JF - Multidimensional Systems and Signal Processing

SN - 0923-6082

IS - 1

ER -