On a nonconvex, nonsmooth control system
This paper is concerned with the study of boundary trajectories of a control system, and what happens to them after relaxing the system. The main problem considered is that a trajectory may be fall into the interior of reachable sets after relaxing the system, but still remain extremal for the relaxed system. A simple proof of the maximum principle is given which says that a boundary trajectory of a nonconvex, nonsmooth system satisfies the maximum principle not only with every ordinary but also with every relaxed control corresponding to it.
scientific article; zbMATH DE number 4084432