Coprimeness Properties of Nonlinear Fractional System Realizations

Natasha Linard; Brian Anderson; Franky De Bruyne

doi:10.1016/S0167-6911(98)00033-4

Coprimeness Properties of Nonlinear Fractional System Realizations

Natasha Linard^*, Brian Anderson, Franky De Bruyne

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

In this paper, the relationship between the Bezout and the set-theoretic approaches to left coprimeness is studied. It is shown that left coprimeness in the set-theoretic sense implies left coprimeness in the Bezout sense. In addition to these results, we investigate whether some properties for linear left coprime realizations carry over to the nonlinear case, for example we examine the relations between two left coprime realizations of the same system.

Original language	English
Pages (from-to)	265-271
Journal	Systems and Control Letters
Volume	34
Issue number	5
DOIs	https://doi.org/10.1016/S0167-6911(98)00033-4
Publication status	Published - 27 Jul 1998

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10.1016/S0167-6911(98)00033-4

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title = "Coprimeness Properties of Nonlinear Fractional System Realizations",

abstract = "In this paper, the relationship between the Bezout and the set-theoretic approaches to left coprimeness is studied. It is shown that left coprimeness in the set-theoretic sense implies left coprimeness in the Bezout sense. In addition to these results, we investigate whether some properties for linear left coprime realizations carry over to the nonlinear case, for example we examine the relations between two left coprime realizations of the same system.",

keywords = "Coprime fractional system representations, Nonlinear systems",

author = "Natasha Linard and Brian Anderson and \{De Bruyne\}, Franky",

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T1 - Coprimeness Properties of Nonlinear Fractional System Realizations

AU - Linard, Natasha

AU - Anderson, Brian

AU - De Bruyne, Franky

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N2 - In this paper, the relationship between the Bezout and the set-theoretic approaches to left coprimeness is studied. It is shown that left coprimeness in the set-theoretic sense implies left coprimeness in the Bezout sense. In addition to these results, we investigate whether some properties for linear left coprime realizations carry over to the nonlinear case, for example we examine the relations between two left coprime realizations of the same system.

AB - In this paper, the relationship between the Bezout and the set-theoretic approaches to left coprimeness is studied. It is shown that left coprimeness in the set-theoretic sense implies left coprimeness in the Bezout sense. In addition to these results, we investigate whether some properties for linear left coprime realizations carry over to the nonlinear case, for example we examine the relations between two left coprime realizations of the same system.

KW - Coprime fractional system representations

KW - Nonlinear systems

UR - https://www.scopus.com/pages/publications/0009460276

U2 - 10.1016/S0167-6911(98)00033-4

DO - 10.1016/S0167-6911(98)00033-4

M3 - Article

SN - 0167-6911

VL - 34

SP - 265

EP - 271

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

Coprimeness Properties of Nonlinear Fractional System Realizations

Abstract

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