Approximation of the Telegrapher’s equations

Authors

G. Golo, V. Talasila, A.J. van der Schaft

Abstract

The problem of approximating a distributed parameter system with free boundary conditions is solved for the 1-dimensional Telegrapher’s equations. The Telegrapher’s equations are described using an infinite-dimensional port-Hamiltonian model, and we derive a finite dimensional port-Hamiltonian model using a mixed finite-element procedure. We show that energy conservation, passivity and some dynamic invariants are preserved in the discretization.

Citation

Journal: Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
Year: 2004
Volume: 4
Issue:
Pages: 4587–4592
Publisher: IEEE
DOI: 10.1109/cdc.2002.1185099

BibTeX

@inproceedings{Golo,
  series={CDC-02},
  title={{Approximation of the Telegrapher’s equations}},
  volume={4},
  DOI={10.1109/cdc.2002.1185099},
  booktitle={{Proceedings of the 41st IEEE Conference on Decision and Control, 2002.}},
  publisher={IEEE},
  author={Golo, G. and Talasila, V. and van der Schaft, A.J.},
  pages={4587--4592},
  collection={CDC-02}
}

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References

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