Authors

Arjan van der Schaft, Volker Mehrmann

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 in the literature. This paper presents extensions of results obtained in Gernandt et al. (2021); Mehrmann and van der Schaft (2023) in the context of maximally monotone structures, and shows that any such structure can be written as the composition of a Dirac and a resistive structure. This yields an alternative, but equivalent, definition of linear port-Hamiltonian DAE systems with certain advantages. In particular, it leads to simpler coordinate representations, as well as to explicit expressions for the associated transfer functions.

Keywords

Port-Hamiltonian system; Differential–algebraic equation; Lagrange structure; Dirac structure; Maximally monotone structure

Citation

BibTeX

@article{van_der_Schaft_2023,
  title={{Linear port-Hamiltonian DAE systems revisited}},
  volume={177},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2023.105564},
  journal={Systems & Control Letters},
  publisher={Elsevier BV},
  author={van der Schaft, Arjan and Mehrmann, Volker},
  year={2023},
  pages={105564}
}

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References