Optimal control of PDEs in a complex space setting; application to the Schr\"odinger equation
Optimization and Control
2019-01-15 v1
Abstract
In this paper we discuss optimality conditions for abstract optimization problems over complex spaces. We then apply these results to optimal control problems with a semigroup structure. As an application we detail the case when the state equation is the Schr\"{o}dinger one, with pointwise constraints on the "bilinear" control. We derive first and second order optimality conditions and address in particular the case that the control enters the state equation and cost function linearly.
Keywords
Cite
@article{arxiv.1605.01608,
title = {Optimal control of PDEs in a complex space setting; application to the Schr\"odinger equation},
author = {M. Soledad Aronna and Frédéric Bonnans and Axel Kröner},
journal= {arXiv preprint arXiv:1605.01608},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1602.06469