@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{WachsmuthHarder, author = {Wachsmuth, Gerd and Harder, Felix}, title = {The limiting normal cone of a complementarity set in Sobolev spaces}, series = {Optimization}, volume = {67}, journal = {Optimization}, number = {10}, issn = {0233-1934}, doi = {10.1080/02331934.2018.1484467}, pages = {1579 -- 1603}, abstract = {We investigate the limiting normal cone of the complementarity set associated with non-negative functions in the Sobolev space. By using results from homogenization theory, we provide lower estimates for this limiting normal cone. These estimates are unpleasantly large.}, language = {en} }