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2010 | 20 | 2 | 227-238
Tytuł artykułu

Sensors and boundary state reconstruction of hyperbolic systems

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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.
Opis fizyczny
  • MACS Group, Faculty of Sciences, University of Moulay Ismaïl, Bni Mhamed 4011, Meknes, Morocco
  • MACS Group, Faculty of Poly Disciplinary, University of Moulay Ismaïl, Boutalamine I, Errachidia, Morocco
  • Department of Mathematics, Faculty of Exact Sciences, Mentouri University, Constantine, Algeria
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