Sensors and boundary state reconstruction of hyperbolic systems

• Autorzy: El Hassan Zerrik , Hamid Bourray , Samir Ben Hadid
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the problem of regional observability of hyperbolic systems in the case where the subregion of interest is a boundary part of the system evolution domain. We give a definition and establish characterizations in connection with the sensor structure. Then we show that it is possible to reconstruct the system state on a subregion of the boundary. The developed approach, based on the Hilbert uniqueness method (Lions, 1988), leads to a reconstruction algorithm. The obtained results are illustrated with numerical examples and simulations.

Słowa kluczowe

EN

distributed systems; hyperbolic systems; regional observability; boundary reconstruction; strategic sensor

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2010
• Tom: 20
• Numer: 2
• Strony: 227-238

Daty

wydano

2010

otrzymano

2009-02-15

poprawiono

2009-10-22

Twórcy

autor

El Hassan Zerrik

• MACS Group, Faculty of Sciences, University of Moulay Ismaïl, Bni Mhamed 4011, Meknes, Morocco

autor

Hamid Bourray

• MACS Group, Faculty of Poly Disciplinary, University of Moulay Ismaïl, Boutalamine I, Errachidia, Morocco

autor

Samir Ben Hadid

• Department of Mathematics, Faculty of Exact Sciences, Mentouri University, Constantine, Algeria

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-010-0016-4