%0 Journal Article %T Closure of Pointed Cones and Maximum Principle in Hilbert Spaces %A d'Alessandro %A Paolo %J Cubo (Temuco) %D 2011 %I Scientific Electronic Library Online %R 10.4067/S0719-06462011000200004 %X we prove, in a hilbert space setting, that all targets of the minimum norm optimal control problems reachable with inputs of minimum norm p are support points for the the set reachable by inputs with norm bounded by p. this amount to say that the maximum principle always holds in hilbert spaces. %K linear control systems in hilbert spaces %K norm optimal control %K maximum principle. %U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462011000200004&lng=en&nrm=iso&tlng=en