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20232026
most citedNonlinear controlled port-Hamiltonian systems: Existence of (optimal) solutions

1 citations · 1 across the 9 of their papers we have counts for

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9 papers

math.OC2026

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

Till Preuster, Manuel Schaller, Anton Schiela +1

Many numerical algorithms for optimal control leverage an elimination of the state via the control-to-state map such as condensed approaches or preconditioned conjugate gradient me…

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.AP2025

Abstract second-order boundary control systems

Till Preuster, Timo Reis, Manuel Schaller

Many physical systems, such as vibrating elastic bodies, acoustic media and electromagnetic fields, are governed by second-order evolution equations and inte…

math.AP2025

Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems

Hannes Gernandt, Friedrich Philipp, Till Preuster +1

The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…

math.OC2024★ 1 cited

Nonlinear controlled port-Hamiltonian systems: Existence of (optimal) solutions

Willem Esterhuizen, Bernhard Maschke, Till Preuster +2

We investigate the existence of solutions of reversible and irreversible port-Hamilto\-nian systems. To this end, we utilize the associated exergy, a function that is composed of t…

math.AP2024

Jet space extensions of infinite-dimensional Hamiltonian systems

Till Preuster, Manuel Schaller, Bernhard Maschke

We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamilto…

math.OC2023

On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems

Hannes Gernandt, Friedrich Philipp, Till Preuster +1

We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structur…