We consider a bilevel optimal control problem.
The lower level problem is a classical optimal control problem with a parameterized objective function.
The upper level problem is used to identify the (finitely many) parameters of the objective function of the lower level problem.
We discuss assumptions for properties of the lower level problem such as directional differentiability of the parameter-to-solution map.
In particular, we have to deal with the problem of two-norms discrepancy.
We investigate optimality conditions for the bilevel problem.