Geodesic
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

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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 
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     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},
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     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_2_a1/}
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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/