System theoretic properties of a class of spatially invariant systems

Ruth Curtain; Orest V. Iftime; Hans Zwart

doi:10.1016/j.automatica.2009.03.005

System theoretic properties of a class of spatially invariant systems

Ruth Curtain, Orest V. Iftime^*, Hans Zwart

^*Corresponding author voor dit werk

Onderzoeksoutput: Article › Academic › peer review

60 Citaten (Scopus)

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In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially invariant systems. Our approach uses the well-established theory developed to solve infinite-dimensional systems. The theoretical results are illustrated by several examples. (C) 2009 Elsevier Ltd. All rights reserved.

Originele taal-2	English
Pagina's (van-tot)	1619-1627
Aantal pagina's	9
Tijdschrift	Automatica
Volume	45
Nummer van het tijdschrift	7
DOI's	https://doi.org/10.1016/j.automatica.2009.03.005
Status	Published - jul.-2009
Evenement	47th IEEE Conference on Decision and Control - , Mexico Duur: 9-dec.-2008 → 11-dec.-2008

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title = "System theoretic properties of a class of spatially invariant systems",

abstract = "In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially invariant systems. Our approach uses the well-established theory developed to solve infinite-dimensional systems. The theoretical results are illustrated by several examples. (C) 2009 Elsevier Ltd. All rights reserved.",

keywords = "Linear systems, Infinite-dimensional systems, Spatially invariant, Platoons, Spatially distributed systems, OPTIMAL ERROR REGULATION, MOVING VEHICLES, STABILITY, ALGEBRA",

author = "Ruth Curtain and Iftime, {Orest V.} and Hans Zwart",

year = "2009",

month = jul,

doi = "10.1016/j.automatica.2009.03.005",

language = "English",

volume = "45",

pages = "1619--1627",

journal = "Automatica",

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T1 - System theoretic properties of a class of spatially invariant systems

AU - Curtain, Ruth

AU - Iftime, Orest V.

AU - Zwart, Hans

PY - 2009/7

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N2 - In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially invariant systems. Our approach uses the well-established theory developed to solve infinite-dimensional systems. The theoretical results are illustrated by several examples. (C) 2009 Elsevier Ltd. All rights reserved.

AB - In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially invariant systems. Our approach uses the well-established theory developed to solve infinite-dimensional systems. The theoretical results are illustrated by several examples. (C) 2009 Elsevier Ltd. All rights reserved.

KW - Linear systems

KW - Infinite-dimensional systems

KW - Spatially invariant

KW - Platoons

KW - Spatially distributed systems

KW - OPTIMAL ERROR REGULATION

KW - MOVING VEHICLES

KW - STABILITY

KW - ALGEBRA

U2 - 10.1016/j.automatica.2009.03.005

DO - 10.1016/j.automatica.2009.03.005

M3 - Article

VL - 45

SP - 1619

EP - 1627

JO - Automatica

JF - Automatica

IS - 7

T2 - 47th IEEE Conference on Decision and Control

Y2 - 9 December 2008 through 11 December 2008

ER -

System theoretic properties of a class of spatially invariant systems

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