On the reduction of an arbitrary 2-D polynomial matrix to GSS form

M. S. Boudellioua; B. Chentouf

doi:10.23919/ecc.2003.7085193

On the reduction of an arbitrary 2-D polynomial matrix to GSS form

M. S. Boudellioua, B. Chentouf

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.

Original language	English
Title of host publication	European Control Conference, ECC 2003
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1611-1615
Number of pages	5
ISBN (Electronic)	9783952417379
DOIs	https://doi.org/10.23919/ecc.2003.7085193
Publication status	Published - Apr 13 2003
Event	2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom Duration: Sept 1 2003 → Sept 4 2003

Publication series

Name	European Control Conference, ECC 2003

Other

Other	2003 European Control Conference, ECC 2003
Country/Territory	United Kingdom
City	Cambridge
Period	9/1/03 → 9/4/03

Keywords

2-D Systems
Generalized State Space Form
Invariant Polynomials
System Matrix
Zero Coprime System Equivalence

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.23919/ecc.2003.7085193

Cite this

Boudellioua, MS & Chentouf, B 2003, On the reduction of an arbitrary 2-D polynomial matrix to GSS form. in European Control Conference, ECC 2003., 7085193, European Control Conference, ECC 2003, Institute of Electrical and Electronics Engineers Inc., pp. 1611-1615, 2003 European Control Conference, ECC 2003, Cambridge, United Kingdom, 9/1/03. https://doi.org/10.23919/ecc.2003.7085193

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AB - In this paper, it is shown that any arbitrary 2-D polynomial system matrix can be reduced by zero coprime system equivalence to a generalized state space form. The exact form of both the generalized state space (GSS) system matrix and the transformation linking it to the original system matrix are established.

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KW - Generalized State Space Form

KW - Invariant Polynomials

KW - System Matrix

KW - Zero Coprime System Equivalence

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BT - European Control Conference, ECC 2003

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2003 European Control Conference, ECC 2003

Y2 - 1 September 2003 through 4 September 2003

ER -

On the reduction of an arbitrary 2-D polynomial matrix to GSS form

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