<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Sensors and boundary state reconstruction of hyperbolic systems

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

International Journal of Applied Mathematics and Computer Science

{"article-title":"Sensors and boundary state reconstruction of hyperbolic systems"}

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...

Sensors and boundary state reconstruction of hyperbolic systems

Published Online: Jul 02, 2010

Page range: 227 - 238

DOI: https://doi.org/10.2478/v10006-010-0016-4

Keywords
Distributed systems, hyperbolic systems, regional observability, boundary reconstruction, strategic sensor

This content is open access.

Sensors and boundary state reconstruction of hyperbolic systems

Published Online: Jul 02, 2010

Page range: 227 - 238

DOI: https://doi.org/10.2478/v10006-010-0016-4

KeywordsDistributed systems, hyperbolic systems, regional observability, boundary reconstruction, strategic sensor

This content is open access.

Keywords
Distributed systems, hyperbolic systems, regional observability, boundary reconstruction, strategic sensor