Topological geometric extension of Stokes-Dirac structures for global energy flows

Authors

Gou Nishida, Bernhard Maschke

Abstract

This paper proposes an extended Stokes-Dirac structure for describing a global structure of port-Hamiltonian systems defined on manifolds with non-trivial topology under consistent boundary conditions. For the aim, the relationship between the Stokes-Dirac structure and the topological geometry of the manifolds is clarified in terms of harmonic differential forms.

Citation

• Journal: 2019 18th European Control Conference (ECC)
• Year: 2019
• Volume:
• Issue:
• Pages: 1878–1883
• Publisher: IEEE
• DOI: 10.23919/ecc.2019.8796019

BibTeX

@inproceedings{Nishida_2019,
  title={{Topological geometric extension of Stokes-Dirac structures for global energy flows}},
  DOI={10.23919/ecc.2019.8796019},
  booktitle={{2019 18th European Control Conference (ECC)}},
  publisher={IEEE},
  author={Nishida, Gou and Maschke, Bernhard},
  year={2019},
  pages={1878--1883}
}

Download the bib file

References

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