We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

This paper presents a structure-preserving spatial discretization method for distributed
parameter port-Hamiltonian systems. The class of considered systems are hyperbolic …

We examine interpolatory model reduction methods that are particularly well-suited for
treating large-scale port-Hamiltonian differential-algebraic systems. We are able to take …

We develop optimization-based structure-preserving model order reduction (MOR) methods
for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems …

We discuss structure-preserving model order reduction for port-Hamiltonian systems based
on a nonlinear approximation ansatz which is linear with respect to a part of the state …

Model order reduction (MOR) methods that are designed to preserve structural features of a
given full order model (FOM) often suffer from a lower accuracy when compared to their non …

We present a new structure-preserving model order reduction (MOR) framework for large-
scale port-Hamiltonian descriptor systems (pH-DAEs). Our method exploits the structural …

We investigate linear dynamical systems of second order. Uncertainty quantification is
applied, where physical parameters are substituted by random variables. A stochastic …

We develop an optimization-based algorithm for parametric model order reduction (PMOR)
of linear time-invariant dynamical systems. Our method aims at minimizing the $\mathcal {H} …

Transport-dominated systems are characterized by the propagation of waves and occur in
many applications such as aerodynamics and chemical engineering. To predict the …