On the Generating Functions of Irreversible port-Hamiltonian Systems⋆

Authors

Jonas Kirchhoff, Bernhard Maschke

Abstract

We study the geometric structure of the drift dynamics of Irreversible port-Hamiltonian systems. This drift dynamics is defined with respect to a product of Poisson brackets, reflecting the interconnection structure and the constitutive relations of the irreversible phenomena occuring in the system. We characterise this product of Poisson brackets using a covariant 4-tensor and an associated function. We derive various conditions for which this 4-tensor and the associated function may be reduced to a product of almost Poisson brackets.

Keywords

port-Hamiltonian Systems; Nonlinear Systems; Irreversible Thermodynamics; Energy and Entropy based Modelling; Geometrical Methods

Citation

• Journal: IFAC-PapersOnLine
• Year: 2023
• Volume: 56
• Issue: 2
• Pages: 10447–10452
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2023.10.1061
• Note: 22nd IFAC World Congress- Yokohama, Japan, July 9-14, 2023

BibTeX

@article{Kirchhoff_2023,
  title={{On the Generating Functions of Irreversible port-Hamiltonian Systems⋆}},
  volume={56},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2023.10.1061},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Kirchhoff, Jonas and Maschke, Bernhard},
  year={2023},
  pages={10447--10452}
}

Download the bib file

References

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