Optimal control problems with control complementarity constraints
Optimization and Control
2019-11-20 v2
Abstract
A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever the underlying control space is a first-order Sobolev space. After deriving necessary optimality conditions of strong stationarity-type, a penalty method based on the Fischer-Burmeister function is suggested and its theoretical properties are analyzed. Finally, the numerical treatment of the problem is discussed and results of computational experiments are presented.
Cite
@article{arxiv.1809.09920,
title = {Optimal control problems with control complementarity constraints},
author = {Christian Clason and Yu Deng and Patrick Mehlitz and Uwe Prüfert},
journal= {arXiv preprint arXiv:1809.09920},
year = {2019}
}