Authors

B.M.J. Maschke

Abstract

This paper discusses the relation between the power continuous interconnection structure in network models and the geometric structure of Hamiltonian systems. Firstly the gyrative interconnection structure, characterizing interdomain coupling in physical systems, is related to the Poisson structure of Hamiltooian systems. Secondly, the concept of port interaction is used to define the interaction of Hamiltonian systems with their environment. Thirdly, different integrability assumptions, concerning the definition of interaction by interaction potentials and the Jacobi identities, are discussed. Finally it is presented how the previous results may be generalized to power continuous interconnection st1Uctures encompassing as well the power exchanges internal to a physical model as well as the exchanges with its environment. In this case the power continuous interconnection is related with Dirac structure, a geometric structure generalizing the Poisson bracket to constrained and implicit Hamiltonian systems.

Keywords

bond graphs, hamiltonian systems, network models, system theory

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 1998
  • Volume: 31
  • Issue: 17
  • Pages: 285–290
  • Publisher: Elsevier BV
  • DOI: 10.1016/s1474-6670(17)40349-1
  • Note: 4th IFAC Symposium on Nonlinear Control Systems Design 1998 (NOLCOS’98), Enschede, The Netherlands, 1-3 July

BibTeX

@article{Maschke_1998,
  title={{Interconnection and Structure in Physical Systems’ Dynamics}},
  volume={31},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)40349-1},
  number={17},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Maschke, B.M.J.},
  year={1998},
  pages={285--290}
}

Download the bib file

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