Simultaneous null controllability with two constraints. Application to simultaneous discriminating sentinel with given sensitivity

  • Moumini Kere Institut des Sciences/Ouagadougou
  • Sadou Tao Université Ouaga 1 Pr Joseph KI-ZERBO, Département de Mathématiques
  • Elisée Gouba Université Ouaga 1 Pr Joseph KI-ZERBO, Département de Mathématiques

Abstract

We present here some case of simultaneous sentinels for a system of two semilinear parabolic equations. We show that such sentinels exist if, and only if, simultaneous null controllability with two constraints on the control problem for a system governed by two heat equations holds. The key of our results is an observability inequality of Carleman type.

Published
May 28, 2018
How to Cite
KERE, Moumini; TAO, Sadou; GOUBA, Elisée. Simultaneous null controllability with two constraints. Application to simultaneous discriminating sentinel with given sensitivity. Nonlinear Studies, [S.l.], v. 25, n. 2, p. 417-443, may 2018. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1587>. Date accessed: 18 aug. 2018.