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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Autor principal: | |
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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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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. |
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