Cascade representation and minimal factorization of multidimensional systems

D. Alpay; C. Dubi

doi:10.1016/j.sysconle.2008.03.004

Cascade representation and minimal factorization of multidimensional systems

D. Alpay, C. Dubi

Department of Mathematics

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

1 Scopus citations

Abstract

We give necessary and sufficient conditions for both the existence of minimal factorization of a rational function of N complex variables and the cascade representation of a Fornasini-Marchesini linear system. In particular, we generalize the well known result of Bart, Gohberg, Kaashoek and Van Doren on minimal factorization of a rational function of one complex variable.

Original language	English
Pages (from-to)	796-799
Number of pages	4
Journal	Systems and Control Letters
Volume	57
Issue number	10
DOIs	https://doi.org/10.1016/j.sysconle.2008.03.004
State	Published - 1 Oct 2008

Keywords

Cascade product
Fornasini-Marchesini linear system
Minimal factorization
Realization

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2008.03.004

Cite this

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title = "Cascade representation and minimal factorization of multidimensional systems",

abstract = "We give necessary and sufficient conditions for both the existence of minimal factorization of a rational function of N complex variables and the cascade representation of a Fornasini-Marchesini linear system. In particular, we generalize the well known result of Bart, Gohberg, Kaashoek and Van Doren on minimal factorization of a rational function of one complex variable.",

keywords = "Cascade product, Fornasini-Marchesini linear system, Minimal factorization, Realization",

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T1 - Cascade representation and minimal factorization of multidimensional systems

AU - Alpay, D.

AU - Dubi, C.

PY - 2008/10/1

Y1 - 2008/10/1

N2 - We give necessary and sufficient conditions for both the existence of minimal factorization of a rational function of N complex variables and the cascade representation of a Fornasini-Marchesini linear system. In particular, we generalize the well known result of Bart, Gohberg, Kaashoek and Van Doren on minimal factorization of a rational function of one complex variable.

AB - We give necessary and sufficient conditions for both the existence of minimal factorization of a rational function of N complex variables and the cascade representation of a Fornasini-Marchesini linear system. In particular, we generalize the well known result of Bart, Gohberg, Kaashoek and Van Doren on minimal factorization of a rational function of one complex variable.

KW - Cascade product

KW - Fornasini-Marchesini linear system

KW - Minimal factorization

KW - Realization

UR - https://www.scopus.com/pages/publications/49449103484

U2 - 10.1016/j.sysconle.2008.03.004

DO - 10.1016/j.sysconle.2008.03.004

M3 - Article

AN - SCOPUS:49449103484

SN - 0167-6911

VL - 57

SP - 796

EP - 799

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 10

ER -

Cascade representation and minimal factorization of multidimensional systems

Abstract

Keywords

ASJC Scopus subject areas

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