We consider a quadratic control problem with a semilinear state equation depending on a small parameter . We show that the optimal control is a regular function of such parameter.
Si considera un problema di controllo quadratico con una equazione di stato semilineare dipendente da un piccolo parametro , e si prova che il controllo ottimale è una funzione regolare di tale parametro.
@article{RLINA_1988_8_82_3_423_0,
author = {Fausto Gozzi},
title = {Some results for an optimal control problem with a semilinear state equation},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {82},
year = {1988},
pages = {423-429},
zbl = {0716.49005},
mrnumber = {1151694},
language = {en},
url = {http://dml.mathdoc.fr/item/RLINA_1988_8_82_3_423_0}
}
Gozzi, Fausto. Some results for an optimal control problem with a semilinear state equation. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 82 (1988) pp. 423-429. http://gdmltest.u-ga.fr/item/RLINA_1988_8_82_3_423_0/
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