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20242026
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math.OC2026

Stabilize-then-optimize: Feedback transformations as preconditioners in optimal control

Till Preuster, Manuel Schaller, Anton Schiela +1

The paper proposes using feedback transformations as preconditioners to reformulate optimal control problems, reducing the norm of the control-to-state map and improving condition…

math.OC2026

Coupling optimization algorithms and monotone control systems: Suboptimal model predictive control as an operator splitting scheme

Till Preuster, Hannes Gernandt, Manuel Schaller

We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to cl…

math.OC2026

Stabilization of monotone control systems with input constraints

Till Preuster, Hannes Gernandt, Manuel Schaller

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constrain…

math.OC2026

Optimization-based control by interconnection of nonlinear port-Hamiltonian systems

Till Preuster, Hannes Gernandt, Manuel Schaller

In this paper, we develop a control-by-interconnection approach for the stabilization of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the controller i…

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…