Moving-Boundary Port-Hamiltonian Systems
Optimization and Control
2025-07-17 v2 Numerical Analysis
Numerical Analysis
Abstract
In this paper, we consider linear boundary port-Hamiltonian distributed parameter systems on a time-varying spatial domain. We derive the specific time-varying Dirac structure that these systems give rise to and use it to formally establish a new class of moving-boundary port-Hamiltonian systems by showing that these distributed parameter systems on a time-varying spatial domain admit a port-Hamiltonian representation. We demonstrate that our results can be leveraged to develop a spatial discretization scheme with dynamic meshing for approximating the telegrapher's equations on a time-varying spatial domain, which we subsequently verify numerically.
Cite
@article{arxiv.2501.14930,
title = {Moving-Boundary Port-Hamiltonian Systems},
author = {T. J. Meijer and A. Das and S. Weiland},
journal= {arXiv preprint arXiv:2501.14930},
year = {2025}
}