Characterization of system theoretic properties for a class of spatially invariant systems

F. Fatmawati; Heiko J. Zwart

Characterization of system theoretic properties for a class of spatially invariant systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This paper considers the analysis of the system properties stability and stabilizability for a class of spatially distributed systems on a two-dimensional spatial domain. Using the Fourier transform on the spatial variables, we obtain a mathematically simpler infinite dimensional system. The analysis results are illustrated by several examples.

Original language	Undefined
Title of host publication	SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale
Editors	A. El Jai, L. Afifi, E. Zerrik
Place of Publication	Perpignan
Publisher	Presses Universitaires de Perpignan
Pages	441-448
Number of pages	8
ISBN (Print)	978-2-35412-043-6
Publication status	Published - May 2009
Event	Conférence Internationale de Systems Theory : Modélisation, Analyse et Contrôle - Fes, Morocco Duration: 25 May 2009 → 28 May 2009

Publication series

Name
Publisher	Presses Universitaires de Perpignan

Conference

Conference	Conférence Internationale de Systems Theory : Modélisation, Analyse et Contrôle
Period	25/05/09 → 28/05/09
Other	25-28 May 2009

Keywords

Infinite-dimensional systems
Fourier transform
IR-70182
METIS-266512
Spatially invariant
EWI-17617
stabilizability
Stability
MSC-93C25

Access to Document

Cite this

Fatmawati, F., & Zwart, H. J. (2009). Characterization of system theoretic properties for a class of spatially invariant systems. In A. El Jai, L. Afifi, & E. Zerrik (Eds.), SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale (pp. 441-448). Presses Universitaires de Perpignan. http://eprints.eemcs.utwente.nl/secure2/17617/01/FatmawatiZwart.pdf

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abstract = "This paper considers the analysis of the system properties stability and stabilizability for a class of spatially distributed systems on a two-dimensional spatial domain. Using the Fourier transform on the spatial variables, we obtain a mathematically simpler infinite dimensional system. The analysis results are illustrated by several examples.",

keywords = "Infinite-dimensional systems, Fourier transform, IR-70182, METIS-266512, Spatially invariant, EWI-17617, stabilizability, Stability, MSC-93C25",

author = "F. Fatmawati and Zwart, {Heiko J.}",

year = "2009",

month = may,

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publisher = "Presses Universitaires de Perpignan",

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editor = "{El Jai}, A. and L. Afifi and E. Zerrik",

booktitle = "SYSTEMS THEORY : Mod{\'e}lisation, Analyse et Contr{\^o}le - Actes de la Conf{\'e}rence Internationale",

note = "Conf{\'e}rence Internationale de Systems Theory : Mod{\'e}lisation, Analyse et Contr{\^o}le ; Conference date: 25-05-2009 Through 28-05-2009",

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Fatmawati, F & Zwart, HJ 2009, Characterization of system theoretic properties for a class of spatially invariant systems. in A El Jai, L Afifi & E Zerrik (eds), SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale. Presses Universitaires de Perpignan, Perpignan, pp. 441-448, Conférence Internationale de Systems Theory : Modélisation, Analyse et Contrôle, 25/05/09. <http://eprints.eemcs.utwente.nl/secure2/17617/01/FatmawatiZwart.pdf>

Characterization of system theoretic properties for a class of spatially invariant systems. / Fatmawati, F.; Zwart, Heiko J.
SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale. ed. / A. El Jai; L. Afifi; E. Zerrik. Perpignan: Presses Universitaires de Perpignan, 2009. p. 441-448.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Characterization of system theoretic properties for a class of spatially invariant systems

AU - Fatmawati, F.

AU - Zwart, Heiko J.

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N2 - This paper considers the analysis of the system properties stability and stabilizability for a class of spatially distributed systems on a two-dimensional spatial domain. Using the Fourier transform on the spatial variables, we obtain a mathematically simpler infinite dimensional system. The analysis results are illustrated by several examples.

AB - This paper considers the analysis of the system properties stability and stabilizability for a class of spatially distributed systems on a two-dimensional spatial domain. Using the Fourier transform on the spatial variables, we obtain a mathematically simpler infinite dimensional system. The analysis results are illustrated by several examples.

KW - Infinite-dimensional systems

KW - Fourier transform

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KW - Spatially invariant

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KW - stabilizability

KW - Stability

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BT - SYSTEMS THEORY : Modélisation, Analyse et Contrôle - Actes de la Conférence Internationale

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PB - Presses Universitaires de Perpignan

CY - Perpignan

T2 - Conférence Internationale de Systems Theory : Modélisation, Analyse et Contrôle

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