We investigate an extension of Mixed-Integer Optimal Control Problems by adding switching
costs, which enables the penalization of chattering and extends current modeling …

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 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 …

The combinatorial integral approximation decomposition splits the optimization of a discrete-
valued control into two steps: solving a continuous relaxation of the discrete control problem …

We consider the problem of designing a cloak for waves described by the Helmholtz
equation from an integer programming point of view. The problem can be modeled as a PDE …

We present a methodology based on mixed-integer nonlinear model predictive control for a
real-time building energy management system in application to a single-family house with a …

Multimodal chromatography is a powerful tool in the downstream processing of
biopharmaceuticals. To fully benefit from this technology, an efficient process strategy must …

The combinatorial decomposition approach, consisting of first solving a (nonlinear) relaxed
problem and then computing appropriate roundings recuperating the discrete controls, has …

We extend recent work on the performance of the combinatorial integral approximation
decomposition approach for Mixed-Integer Optimal Control Problems (MIOCPs) in the …

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