Maximizing a state convex Lagrange functional in optimal control

We consider the maximization problem for an integral functional with a state-convex integrand function along a standard control system. We show necessary and sufficient global optimality conditions related to the Pontryagin's maximum principle. We study the properties of these conditions and their relations with optimal control theory. We also illustrate the efficiency of the resulting conditions on specific examples.

Presented by the member of Editorial Board: I. V. Roublev