Abstract
An optimal control problem is considered where the performance functional is a semiconvex function of integral functionals, i.e., a function which can be approximated locally by a convex cone. A discussion of various types of conical approximations and a variant of the basic separation lemma are presented. A maximum principle is formulated and an extension of the basic proof of the maximum principle is given. An example shows the possible applications of the variant of the maximum principle.
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