We propose a trust-region method that solves a sequence of linear integer programs to
tackle integer optimal control problems regularized with a total variation penalty. The total …

We consider optimal control problems with integer-valued controls and a total variation
regularization penalty in the objective on domains of dimension two or higher. The penalty …

We consider a class of integer linear programs (IPs) that arise as discretizations of trust-
region subproblems of a trust-region algorithm for the solution of control problems, where …

Models involving hybrid systems are versatile in their application, but difficult to handle and
optimize efficiently due to their combinatorial nature. This work presents a method to cope …

We investigate local optimality conditions of first and second order for integer optimal control
problems with total variation regularization via a finite-dimensional switching point problem …

We investigate local optimality conditions of first and second order for integer optimal control
problems with total variation regularization via a finite-dimensional switching-point problem …

Multibang regularization and combinatorial integral approximation decompositions are two
actively researched techniques for integer optimal control. We consider a class of polyhedral …

This article is concerned with a recently proposed switching cost aware rounding (SCARP)
strategy in the combinatorial integral approximation for mixed-integer optimal control …

(CIA) are two recently investigated approaches for the solution of optimization problems with
distributed binary-/discrete-valued variables (control functions). We show improved …

The chapter reviews certain computational approaches to solve optimal control problems for
evolution-type partial differential equations, where some control functions are limited to …