In this article, we state and prove first-and second-order necessary conditions in Pontryagin
form for optimal control problems with pure state and mixed control-state constraints. We say …

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 …

This paper presents an interior point method for pure state and mixed-constraint optimal
control problems for dynamics, mixed constraints, and cost function all affine in the control …

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 …

It is well known that Error Bound conditions provide some (usually linear or sublinear) rate of
convergence for gradient descent methods in unconstrained and, in certain cases, in …

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 …

In this paper, we establish some second order necessary/sufficient optimality conditions for
optimal control problems of stochastic evolution equations in infinite dimensions. The control …

In this thesis, we study optimal control problems subject to differential-algebraic equations in
Hessenberg form and mixed control-state constraints. Specifically, we derive necessary and …

In this paper, we are concerned with a nonlinear optimal control problem of ordinary
differential equations. We consider a discretization of the problem with the discontinuous …

This note summarizes some recent advances on the theory of optimality conditions for PDE
optimization. We focus our attention on the concept of strong minima for optimal control …