System theoretic properties of a class of spatially invariant systems

Ruth Curtain; O.V. Iftime; Heiko J. Zwart

doi:10.1016/j.automatica.2009.03.005

System theoretic properties of a class of spatially invariant systems

Ruth Curtain, O.V. Iftime, Heiko J. Zwart

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

42 Citations (Scopus)

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.

Original language	Undefined
Article number	10.1016/j.automatica.2009.03.005
Pages (from-to)	1619-1627
Number of pages	9
Journal	Automatica
Volume	45
Issue number	7
DOIs	https://doi.org/10.1016/j.automatica.2009.03.005
Publication status	Published - Jul 2009

Keywords

Spatially distributed systems
MSC-93C25
IR-67790
EWI-15664
Spatially invariant
Linear systems
Infinite-dimensional systems
Platoons
METIS-263905

Access to Document

10.1016/j.automatica.2009.03.005

http://eprints.eemcs.utwente.nl/secure2/15664/01/CuIZ09.pdf

Cite this

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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.",

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AU - Curtain, Ruth

AU - Iftime, O.V.

AU - Zwart, Heiko J.

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PY - 2009/7

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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.

KW - Spatially distributed systems

KW - MSC-93C25

KW - IR-67790

KW - EWI-15664

KW - Spatially invariant

KW - Linear systems

KW - Infinite-dimensional systems

KW - Platoons

KW - METIS-263905

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DO - 10.1016/j.automatica.2009.03.005

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JO - Automatica

JF - Automatica

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