The title of the present work is a nod to the paper “The hybrid maximum principle is a
consequence of Pontryagin maximum principle” by Dmitruk and Kaganovich [Systems …

This paper addresses optimal control problems with loss control regions. In that context the
state space is partitioned into disjoint subsets, referred to as regions, which are classified …

In this paper, we consider optimal control problems associated with a class of quasilinear
parabolic equations, where the coefficients of the elliptic part of the operator depend on the …

In this paper we provide a second order analysis for strong solutions in the optimal control of
parabolic equations. We consider first the case of box constraints on the control in a general …

The objective of this paper is to analyze the existence of equilibria for a class of deterministic
mean field games of controls. The interaction between players is due to both a congestion …

In this article, we prove second-order necessary optimality conditions for the so-called time
crisis problem that comes up within the context of viability theory. It consists in minimizing the …

One of the first steps towards necessary second-order optimality conditions in problems with
constraints was taken by Dubovitskii and Milyutin in 1965. They offered a scheme that was …

In this article, given a reference feasible trajectory of an optimal control problem, we say that
the quadratic growth property for bounded strong solutions holds if the cost function of the …

This paper deals with Interior Point Methods (IPMs) for Optimal Control Problems (OCPs)
with pure state and mixed constraints. This paper establishes a complete proof of …

We consider an optimal control problem with a finite number of mixed constraints G i (x, u)≤
0 that are nonregular, ie when the gradients G iu′(x, u) of active constraints can be …