Realization in Generalized State Space form for 2-D Polynomial System Matrices

Realization in Generalized State Space form for 2-D Polynomial System Matrices

In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) 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 o...

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Bibliographic Details
Main Authors: M.S. Boudellioua, B. Chentouf
Format: Article
Language:English
Published: Sultan Qaboos University 2005-06-01
Series:Sultan Qaboos University Journal for Science
Subjects:
2-D Systems, system matrix, generalized state space form, zero coprime system equivalence, invariant polynomials, invariant zeros, grobner bases.
Online Access:https://journals.squ.edu.om/index.php/squjs/article/view/333
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spelling doaj-4985db57f22140b0b370b2b95ef81cb82020-11-24T23:43:24ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2005-06-01100779210.24200/squjs.vol10iss0pp77-92332Realization in Generalized State Space form for 2-D Polynomial System MatricesM.S. Boudellioua0B. Chentouf1Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Sultanate of OmanDepartment of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Sultanate of OmanIn this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) 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 2-D polynomial system matrix with its associated GSS form is zero coprime system equivalence. The exact nature of the resulting system matrix in GSS form and the transformation involved are established.https://journals.squ.edu.om/index.php/squjs/article/view/3332-D Systems, system matrix, generalized state space form, zero coprime system equivalence, invariant polynomials, invariant zeros, grobner bases.
collection DOAJ
language English
format Article
sources DOAJ
author M.S. Boudellioua
B. Chentouf
spellingShingle M.S. Boudellioua
B. Chentouf
Realization in Generalized State Space form for 2-D Polynomial System Matrices
Sultan Qaboos University Journal for Science
2-D Systems, system matrix, generalized state space form, zero coprime system equivalence, invariant polynomials, invariant zeros, grobner bases.
author_facet M.S. Boudellioua
B. Chentouf
author_sort M.S. Boudellioua
title Realization in Generalized State Space form for 2-D Polynomial System Matrices
title_short Realization in Generalized State Space form for 2-D Polynomial System Matrices
title_full Realization in Generalized State Space form for 2-D Polynomial System Matrices
title_fullStr Realization in Generalized State Space form for 2-D Polynomial System Matrices
title_full_unstemmed Realization in Generalized State Space form for 2-D Polynomial System Matrices
title_sort realization in generalized state space form for 2-d polynomial system matrices
publisher Sultan Qaboos University
series Sultan Qaboos University Journal for Science
issn 1027-524X
2414-536X
publishDate 2005-06-01
description In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) 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 2-D polynomial system matrix with its associated GSS form is zero coprime system equivalence. The exact nature of the resulting system matrix in GSS form and the transformation involved are established.
topic 2-D Systems, system matrix, generalized state space form, zero coprime system equivalence, invariant polynomials, invariant zeros, grobner bases.
url https://journals.squ.edu.om/index.php/squjs/article/view/333
work_keys_str_mv AT msboudellioua realizationingeneralizedstatespaceformfor2dpolynomialsystemmatrices
AT bchentouf realizationingeneralizedstatespaceformfor2dpolynomialsystemmatrices
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