versión On-line ISSN 0719-0646
D'ALESSANDRO, Paolo. Closure of Pointed Cones and Maximum Principle in Hilbert Spaces. Cubo [online]. 2011, vol.13, n.2, pp. 73-84. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462011000200004.
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.
Palabras clave : Linear Control Systems in Hilbert Spaces; Norm Optimal Control; Maximum Principle.