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Cubo (Temuco) 2011
Closure of Pointed Cones and Maximum Principle in Hilbert SpacesDOI: 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 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.
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