3 papers
math.OC2024
Globally convergent homotopies for discrete-time optimal control
Willem Esterhuizen, Kathrin FlaÃkamp, Matthias Hoffmann +1
Homotopy methods are attractive due to their capability of solving difficult optimisation and optimal control problems. The underlying idea is to construct a homotopy, which may be…
math.OC2024
Existence of solutions to port-Hamiltonian systems: initial value problems and optimal control
Willem Esterhuizen, Bernhard Maschke, Till Preuster +2
We investigate the existence of solutions of reversible and irreversible port-Hamiltonian systems. To this end, we utilize the associated exergy, a function that is composed of the…
math.OC2024
MPC without Terminal Ingredients Tailored to the SEIR Compartmental Epidemic Model
Willem Esterhuizen, Philipp Sauerteig, Stefan Streif +1
We consider the SEIR compartmental epidemic model subject to state and input constraints (a cap on the proportion of infectious individuals and limits on the allowed social distanc…