Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators

Authors

Markus Schöberl, Andreas Siuka

Abstract

We consider infinite-dimensional port-Hamiltonian systems described on jet bundles. Based on a power balance relation we introduce the port-Hamiltonian system representation using differential operators regarding the structural mapping, the dissipation mapping and the input 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. The presented constructions will be specialized to mechanical systems to which class also the presented examples belong.

Keywords

Port-Hamiltonian systems; Differential geometry; Infinite-dimensional systems; Partial differential equations; System theory

Citation

• Journal: Automatica
• Year: 2014
• Volume: 50
• Issue: 2
• Pages: 607–613
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2013.11.035

BibTeX

@article{Sch_berl_2014,
  title={{Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators}},
  volume={50},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2013.11.035},
  number={2},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Schöberl, Markus and Siuka, Andreas},
  year={2014},
  pages={607--613}
}

Download the bib file

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