DISCRETE PORT HAMILTONIAN SYSTEMS

Authors

V. Talasila, J. Clemente-Gallardo, A.J. van der Schaft

Abstract

Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

Keywords

Discrete geometry; Discrete port-Hamiltonian systems

Citation

Journal: IFAC Proceedings Volumes
Year: 2005
Volume: 38
Issue: 1
Pages: 495–500
Publisher: Elsevier BV
DOI: 10.3182/20050703-6-cz-1902.00737
Note: 16th IFAC World Congress

BibTeX

@article{Talasila_2005,
  title={{DISCRETE PORT HAMILTONIAN SYSTEMS}},
  volume={38},
  ISSN={1474-6670},
  DOI={10.3182/20050703-6-cz-1902.00737},
  number={1},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Talasila, V. and Clemente-Gallardo, J. and van der Schaft, A.J.},
  year={2005},
  pages={495--500}
}

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References

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