C03: Data-driven surrogate modelling for differential-algebraic port-Hamiltonian systems

Principal investigators:

Prof. Dr. Michael Günther; Prof. Dr. Peter Zaspel

Project description:  

Gaussian processes as port-Hamiltonian surrogate models make it possible to treat nonlinear Hamiltonian or effort functions in port-Hamiltonian differential equations, even and especially if they are not explicitly known. The project investigates how such surrogate models can be constructed from measured and synthetic data. A decisive advantage is that existing gaps in coupled port-Hamiltonian systems can be closed in a structure-preserving manner.

Researchers:  

M.Sc. Matthias Menge

Publications of project C03:

1.

[English] Glück, Jochen; Jacob, Birgit; Meyer, Annika; Wyss, Christian; Zwart, Hans
Stability via closure relations with applications to dissipative and port-Hamiltonian systems
J. Evol. Equ., 24 (3) :39
2024
ISSN: 1424-3199