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
Materias:	Linear Control Systems in Hilbert Spaces Norm Optimal Control Maximum Principle
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200004
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spelling	oai:scielo:S0719-064620110002000042018-10-08Closure of Pointed Cones and Maximum Principle in Hilbert Spacesd’Alessandro,Paolo Linear Control Systems in Hilbert Spaces Norm Optimal Control Maximum Principle 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.2 20112011-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200004en10.4067/S0719-06462011000200004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Linear Control Systems in Hilbert Spaces Norm Optimal Control Maximum Principle
spellingShingle	Linear Control Systems in Hilbert Spaces Norm Optimal Control Maximum Principle d’Alessandro,Paolo Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
description	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.
author	d’Alessandro,Paolo
author_facet	d’Alessandro,Paolo
author_sort	d’Alessandro,Paolo
title	Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
title_short	Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
title_full	Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
title_fullStr	Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
title_full_unstemmed	Closure of Pointed Cones and Maximum Principle in Hilbert Spaces
title_sort	closure of pointed cones and maximum principle in hilbert spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000200004
work_keys_str_mv	AT d8217alessandropaolo closureofpointedconesandmaximumprincipleinhilbertspaces
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Closure of Pointed Cones and Maximum Principle in Hilbert Spaces

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