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Null Controllability of the Heat Equation with Two Constraints on the Control: Application to a Discriminating Sentinel with Given Sensitivity

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Advances in Interdisciplinary Mathematical Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 37))

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Abstract

In this article, we study the null-controllability problem with two constraints on a pair of controls.We apply these results to a discriminating sentinel with given sensitivity to detect some parameters in a pollution problem, governed by a semi-linear parabolic equation with Dirichlet boundary condition.

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Author information

Authors and Affiliations

  1. Laboratoire d’Analyse numérique, d’Informatique et de Biomathématiques, Université de Ouagadougou, Ouagadougou, Burkina Faso

    Sadou Tao

  2. Centre d’Etude et de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA), Université des Antilles et de la Guyane, Campus de Fouillole, 97159, Pointe à Pitre, Guadeloupe, France

    Ousseynou Nakoulima

Authors
  1. Sadou Tao
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  2. Ousseynou Nakoulima
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Correspondence to Ousseynou Nakoulima .

Editor information

Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

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Tao, S., Nakoulima, O. (2013). Null Controllability of the Heat Equation with Two Constraints on the Control: Application to a Discriminating Sentinel with Given Sensitivity. In: Toni, B. (eds) Advances in Interdisciplinary Mathematical Research. Springer Proceedings in Mathematics & Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6345-0_9

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