Remarks on the geometric structure of port-Hamiltonian systems

Authors

Jonas Kirchhoff, Bernhard Maschke

Abstract

We study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are “in between” certain closed Hamiltonian systems, the geometric structure of port-Hamiltonian systems must be “in between” the geometric structures of the latter systems. These are Courant algebroids; and hence the geometric structures should be related by Courant algebroid morphisms. Using this idea, we propose a definition of an intrinsic geometric structure and show that it is unique, if it exists.

Keywords

Dirac structures; port-Hamiltonian systems; nonlinear systems; geometrical methods

Citation

• Journal: IFAC-PapersOnLine
• Year: 2024
• Volume: 58
• Issue: 6
• Pages: 274–279
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2024.08.293
• Note: 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2024- Besançon, France, June 10 – 12, 2024

BibTeX

@article{Kirchhoff_2024,
  title={{Remarks on the geometric structure of port-Hamiltonian systems}},
  volume={58},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2024.08.293},
  number={6},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Kirchhoff, Jonas and Maschke, Bernhard},
  year={2024},
  pages={274--279}
}

Download the bib file

References

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