@misc{HarderWachsmuth, author = {Harder, Felix and Wachsmuth, Gerd}, title = {Optimality Conditions for a Class of Inverse Optimal Control Problems With Partial Differential Equations}, series = {Optimization: A Journal of Mathematical Programming and Operations Research}, journal = {Optimization: A Journal of Mathematical Programming and Operations Research}, issn = {0233-1934}, doi = {10.1080/02331934.2018.1495205}, pages = {29}, abstract = {We consider bilevel optimization problems which can be interpreted as inverse optimal control problems. The lower-level problem is an optimal control problem with a parametrized objective function. The upper-level problem is used to identify the parameters of the lower-level problem. Our main focus is the derivation of first-order necessary optimality conditions. We prove C-stationarity of local solutions of the inverse optimal control problem and give a counterexample to show that strong stationarity might be violated at a local minimizer.}, language = {en} } @misc{HarderWachsmuth, author = {Harder, Felix and Wachsmuth, Gerd}, title = {Comparison of Optimality Systems for the Optimal Control of the Obstacle Problem}, series = {GAMM-Mitteilung}, volume = {40}, journal = {GAMM-Mitteilung}, number = {4}, issn = {0936-7195}, doi = {10.1002/gamm.201740004}, pages = {312 -- 338}, abstract = {We consider stationarity systems for the optimal control of the obstacle problem. The focus is on the comparison of several different systems which are provided in the literature. We obtain some novel results concerning the relations between these stationarity concepts.}, language = {en} }