Closure of Pointed Cones and Maximum Principle in Hilbert Spaces

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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Detalles Bibliográficos
Autor principal: d’Alessandro,Paolo
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200004
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Descripción
Sumario: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.