ARTICLE
OPTIMAL CONTROL OF A NONLINEAR ELIPTICAL EVOLUTION PROBLEM WITH MISSING DATA
- Advances in Differential Equations and Control Processes , 30 (2) : 135-150
Lien de l'article :
http://dx.doi.org/10.17654/0974324323009
Discipline :
Mathématiques
Auteur(s) :
Toma Tindano, Mifiamba Soma, Tao Sadou et Somdouda Sawadogo
Auteur(s) tagués :
TAO Sadou
Renseignée par : TAO Sadou
Résumé
We consider the optimal control of a nonlinear elliptic problem with
missing data (so-called ill-posed problems). Using the notion of
no-regret and low-regret control, we give a characterization of the
control for ill-posed problems. More precisely, we study the control
of Cauchy evolution problems via a regularization approach which
generates incomplete information. We obtain a singular optimality
system characterizing the no-regret control for the Cauchy evolution
problems.
Mots-clés
optimal control, no regret, low regret