Optimal control of infinite dimensional bilinear systems: Application to the heat and wave equations
Optimization and Control
2019-01-15 v2
Abstract
In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. We then apply the results to the heat and wave equations.
Keywords
Cite
@article{arxiv.1602.06469,
title = {Optimal control of infinite dimensional bilinear systems: Application to the heat and wave equations},
author = {M. Soledad Aronna and Frédéric Bonnans and Axel Kröner},
journal= {arXiv preprint arXiv:1602.06469},
year = {2019}
}
Comments
To appear in Mathematical Programming