ARTICLE
SIMULTANEOUS SENTINELS WITH A GIVEN SENSITIVITY IN A POPULATION DYNAMICS PROBLEM WITH MISSING DATA
- Far East Journal of Mathematical Sciences (FJMS) , 143 (6) : 1881-1898
Lien de l'article :
https://doi.org/10.17654/0972087126110
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Kpèbbèwèrè Cédric SOME, Georges KOLOGO, Somdouda SAWADOGO
Auteur(s) tagués :
SOME Kpèbbèwèrè Cédric
Renseignée par : SOME Kpèbbèwèrè Cédric
Résumé
In this paper, we determine pollution parameters in a population dynamics model with missing data by using simultaneous sentinels with given sensitivity. First, we construct suitable functionals in order to introduce the notion of simultaneous sentinels. Next, we show that the existence of such sentinels is equivalent to the simultaneous null-controllability with constraints on the control of an already solved two-time system of equations. Finally, we identify the pollution parameters by means of the optimal control.
Mots-clés
simultaneous sentinels, null-controllability, Carleman inequalities, observability inequality, constraint control