Regional Detection and Reconstruction of Unknown Internal or Boundary Sources
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 2, pp. 319-347
The purpose of this paper is to study the problem of regional detection, to characterize internal or boundary regionally detectable sources and regionally spy sensors, and to establish a relationship between these sensors and regionally strategic sensors. It is shown how to reconstruct a regionally detectable internal or a boundary source from a given output, with an extension to the case when the output is affected by an observation error. Numerical results are given in the case of a diffusion system.
Keywords:
sources, detection, observation, region, sensors
Mots-clés : plik źródłowy, czujnik pomiarowy
Mots-clés : plik źródłowy, czujnik pomiarowy
@article{IJAMCS_2001_11_2_a1,
author = {Afifi, L. and El Jai, A. and Merry, M.},
title = {Regional {Detection} and {Reconstruction} of {Unknown} {Internal} or {Boundary} {Sources}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {319--347},
year = {2001},
volume = {11},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a1/}
}
TY - JOUR AU - Afifi, L. AU - El Jai, A. AU - Merry, M. TI - Regional Detection and Reconstruction of Unknown Internal or Boundary Sources JO - International Journal of Applied Mathematics and Computer Science PY - 2001 SP - 319 EP - 347 VL - 11 IS - 2 UR - http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a1/ LA - en ID - IJAMCS_2001_11_2_a1 ER -
%0 Journal Article %A Afifi, L. %A El Jai, A. %A Merry, M. %T Regional Detection and Reconstruction of Unknown Internal or Boundary Sources %J International Journal of Applied Mathematics and Computer Science %D 2001 %P 319-347 %V 11 %N 2 %U http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a1/ %G en %F IJAMCS_2001_11_2_a1
Afifi, L.; El Jai, A.; Merry, M. Regional Detection and Reconstruction of Unknown Internal or Boundary Sources. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 2, pp. 319-347. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a1/