In this article, we want to show that it is possible to give a complete theory about the existence of an optimal control, without introducing any functional space, by means of the Non Standard Analysis.
@article{urn:eudml:doc:42459, title = {Existence d'un contr\^ole optimal via l'analyse non standard.}, journal = {Collectanea Mathematica}, volume = {42}, year = {1991}, pages = {95-124}, zbl = {0770.49003}, mrnumber = {MR1203391}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42459} }
Spinelli, Patricia; Rakotonirayni, Georges Solay. Existence d'un contrôle optimal via l'analyse non standard.. Collectanea Mathematica, Tome 42 (1991) pp. 95-124. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42459/