Sensors and boundary state reconstruction of hyperbolic systems
El Hassan Zerrik; Hamid Bourray; Samir Ben Hadid
International Journal of Applied Mathematics and Computer Science (2010)
- Volume: 20, Issue: 2, page 227-238
- ISSN: 1641-876X
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topEl Hassan Zerrik, Hamid Bourray, and Samir Ben Hadid. "Sensors and boundary state reconstruction of hyperbolic systems." International Journal of Applied Mathematics and Computer Science 20.2 (2010): 227-238. <http://eudml.org/doc/207982>.
@article{ElHassanZerrik2010,
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.},
author = {El Hassan Zerrik, Hamid Bourray, Samir Ben Hadid},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {distributed systems; hyperbolic systems; regional observability; boundary reconstruction; strategic sensor},
language = {eng},
number = {2},
pages = {227-238},
title = {Sensors and boundary state reconstruction of hyperbolic systems},
url = {http://eudml.org/doc/207982},
volume = {20},
year = {2010},
}
TY - JOUR
AU - El Hassan Zerrik
AU - Hamid Bourray
AU - Samir Ben Hadid
TI - Sensors and boundary state reconstruction of hyperbolic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 2
SP - 227
EP - 238
AB - 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.
LA - eng
KW - distributed systems; hyperbolic systems; regional observability; boundary reconstruction; strategic sensor
UR - http://eudml.org/doc/207982
ER -
References
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