Closure of pointed cones and maximum principle in Hilbert spaces

Downloads

DOI:

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

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.

Keywords

Linear Control Systems in Hilbert Spaces , Norm Optimal Control , Maximum Principle
  • Pages: 73–84
  • Date Published: 2011-06-01
  • Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2011-06-01

How to Cite

[1]
P. D‘alessandro, “Closure of pointed cones and maximum principle in Hilbert spaces”, CUBO, vol. 13, no. 2, pp. 73–84, Jun. 2011.