First-order representations of delay-differential systems in a behavioural setting

H. Glüsing-Lüerßen

doi:10.1016/S0947-3580(97)70072-4

First-order representations of delay-differential systems in a behavioural setting

H. Glüsing-Lüerßen

Mathematics

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

7 Scopus citations

Abstract

Delay-differential operators consisting of commensurate point-delays as well as some specific distributed delays are studied. A characterisation of those operator matrices is given, whose kernel can be represented as the external behaviour of a system of delay-differential equations with only commensurate point-delays and which is explicit and of first order with respect to differentiation.

Original language	English
Pages (from-to)	137-149
Number of pages	13
Journal	European Journal of Control
Volume	3
Issue number	2
DOIs	https://doi.org/10.1016/S0947-3580(97)70072-4
State	Published - 1997

Keywords

Behaviours
Realisations
Time-delay systems

ASJC Scopus subject areas

General Engineering

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10.1016/S0947-3580(97)70072-4

Cite this

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title = "First-order representations of delay-differential systems in a behavioural setting",

abstract = "Delay-differential operators consisting of commensurate point-delays as well as some specific distributed delays are studied. A characterisation of those operator matrices is given, whose kernel can be represented as the external behaviour of a system of delay-differential equations with only commensurate point-delays and which is explicit and of first order with respect to differentiation.",

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year = "1997",

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AU - Glüsing-Lüerßen, H.

PY - 1997

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N2 - Delay-differential operators consisting of commensurate point-delays as well as some specific distributed delays are studied. A characterisation of those operator matrices is given, whose kernel can be represented as the external behaviour of a system of delay-differential equations with only commensurate point-delays and which is explicit and of first order with respect to differentiation.

AB - Delay-differential operators consisting of commensurate point-delays as well as some specific distributed delays are studied. A characterisation of those operator matrices is given, whose kernel can be represented as the external behaviour of a system of delay-differential equations with only commensurate point-delays and which is explicit and of first order with respect to differentiation.

KW - Behaviours

KW - Realisations

KW - Time-delay systems

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U2 - 10.1016/S0947-3580(97)70072-4

DO - 10.1016/S0947-3580(97)70072-4

M3 - Article

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SN - 0947-3580

VL - 3

SP - 137

EP - 149

JO - European Journal of Control

JF - European Journal of Control

IS - 2

ER -

First-order representations of delay-differential systems in a behavioural setting

Abstract

Keywords

ASJC Scopus subject areas

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