Linear port-Hamiltonian DAE systems revisited
Optimization and Control
2022-11-15 v1 Numerical Analysis
Numerical Analysis
Abstract
Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian differential-algebraic equations (DAE) systems. This paper presents extensions of results in Gernandt, Haller & Reis (2021) and Mehrmann & Van der Schaft (2022) in the context of maximally monotone structures and shows that any such space can be written as composition of a Dirac and a resistive structure. Furthermore, appropriate coordinate representations are presented as well as explicit expressions for the associated transfer functions.
Cite
@article{arxiv.2211.06676,
title = {Linear port-Hamiltonian DAE systems revisited},
author = {Arjan van der Schaft and Volker Mehrmann},
journal= {arXiv preprint arXiv:2211.06676},
year = {2022}
}
Comments
13 pages