Closure of pointed cones and maximum principle in Hilbert spaces

Paolo D‘alessandro

doi:10.4067/S0719-06462011000200004

Closure of pointed cones and maximum principle in Hilbert spaces

Authors

Paolo D‘alessandro Math. Department, Third University of Rome, Italy.

DOI:

https://doi.org/10.4067/S0719-06462011000200004

Keywords:

Linear Control Systems in Hilbert Spaces, Norm Optimal Control, Maximum Principle

Abstract

We prove, in a Hilbert space setting, that all targets of the minimum norm optimal control problems reachable with inputs of minimum norm Ï are support points for the the set reachable by inputs with norm bounded by Ï. This amount to say that the Maximum Principle always holds in Hilbert Spaces.