Explicit expressions for two optimal control problems

Report, 2014

In this report explicit expressions relevant to goal-oriented a posteriori error analysis of two optimal control problems are given. The first problem considers the trajectory of a particle (can be interpreted as a lane change manoeuver in vehicle dynamics) and the second problem is a double pendulum (can be viewed as lifting of an arm). This paper is to be considered as supporting material and is not a self-contained complete paper.