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.
@article{bwmeta1.element.bwnjournal-article-amcv11i2p319bwm,
author = {Afifi, Larbi and El Jai, Abdelhaq and Merry, Malika},
title = {Regional detection and reconstruction of unknown internal or boundary sources},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {11},
year = {2001},
pages = {319-347},
zbl = {0979.93052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p319bwm}
}
Afifi, Larbi; El Jai, Abdelhaq; Merry, Malika. Regional detection and reconstruction of unknown internal or boundary sources. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) pp. 319-347. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv11i2p319bwm/
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