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Regional Detection and Reconstruction of Unknown Internal or Boundary Sources

Afifi L., El Jai A., Merry M.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 2

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.