In this paper, we give an overview on optimality conditions and exact penalization for the
mathematical program with switching constraints (MPSC). MPSC is a new class of …

In optimal control, switching structures demanding at most one control to be active at any
time instance appear frequently. Discretizing such problems, a so-called mathematical …

Switching-constrained optimization problems form a difficult class of mathematical
programmes since their feasible set is almost disconnected while standard constraint …

Mathematical programmes with disjunctive constraints (MPDCs for short) cover several
different problem classes from nonlinear optimization including complementarity-, vanishing …

We consider optimal control problems for partial differential equations where the controls
take binary values but vary over the time horizon; they can thus be seen as dynamic …

Approximate necessary optimality conditions in terms of Frechet subgradients and normals
for a rather general optimization problem with a potentially non-Lipschitzian objective …

The present work is concerned with the stabilization of a general class of time-varying linear
parabolic equations by means of a finite-dimensional receding horizon control (RHC). The …

The mathematical program with switching constraints (MPSC), which has been introduced
recently, is a difficult class of optimization problems since standard constraint qualifications …

This paper deals with a certain class of multiobjective semi-infinite programming problems
with switching constraints (in short, MSIPSC) in the framework of Hadamard manifolds. We …

ABSTRACT A special class of optimal control problems with complementarity constraints on
the control functions is studied. It is shown that such problems possess optimal solutions …