On the Equivalence of Geometric and Descriptor Representations of Linear Port-Hamiltonian Systems

Authors

Hannes Gernandt, Friedrich M. Philipp, Till Preuster, Manuel Schaller

Abstract

We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structures, and external ports and a state-space formulation by means of port-Hamiltonian descriptor systems, i.e., differential algebraic equations (DAE) with inputs and outputs.

Keywords

Port-Hamiltonian systems; Multi-valued linear algebra; Descriptor systems

Citation

• ISBN: 9783031649905
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-031-64991-2_6
• Note: Workshop on Systems Theory and PDEs

BibTeX

@inbook{Gernandt_2024,
  title={{On the Equivalence of Geometric and Descriptor Representations of Linear Port-Hamiltonian Systems}},
  ISBN={9783031649912},
  ISSN={2297-024X},
  DOI={10.1007/978-3-031-64991-2_6},
  booktitle={{Systems Theory and PDEs}},
  publisher={Springer Nature Switzerland},
  author={Gernandt, Hannes and Philipp, Friedrich M. and Preuster, Till and Schaller, Manuel},
  year={2024},
  pages={149--165}
}

Download the bib file

References

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