On the port-Hamiltonian representation of systems described by partial differential equations

Authors

Abstract

We consider infinite dimensional port-Hamiltonian systems. Based on a power balance relation we introduce the port-Hamiltonian system representation where we pay attention to two different scenarios, namely the non-differential operator case and the differential operator case regarding the structural mapping, the dissipation mapping and the in/output mapping. In contrast to the well-known representation on the basis of the underlying Stokes-Dirac structure our approach is not necessarily based on using energy-variables which leads to a different port-Hamiltonian representation of the analyzed partial differential equations.

Keywords

Diff erential geometric methods; Hamiltonian Systems; Partial differential equations; System theory

Citation

Journal: IFAC Proceedings Volumes
Year: 2012
Volume: 45
Issue: 19
Pages: 1–6
Publisher: Elsevier BV
DOI: 10.3182/20120829-3-it-4022.00001
Note: 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control

BibTeX

@article{Sch_berl_2012,
  title={{On the port-Hamiltonian representation of systems described by partial differential equations}},
  volume={45},
  ISSN={1474-6670},
  DOI={10.3182/20120829-3-it-4022.00001},
  number={19},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Schöberl, M. and Siuka, A.},
  year={2012},
  pages={1--6}
}

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References

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