Interconnection and composition of Dirac structures for Lagrange-Dirac systems

Authors

Abstract

There is much known on the port-Hamiltonian theory of interconnection of Dirac structures through shared variables. This interconnection is known as Composition of Dirac structures. In this paper, we will show an alternative interconnection of Dirac structures called Bowtie interconnection in the context of Lagrange-Dirac dynamical systems. In particular, we try to illustrate the following two things: Firstly, how composition of Dirac structures may be used in the Lagrangian theory of LC-circuits. Secondly, how composition of Dirac structures may be linked with bowtie interconnection.

Citation

Journal: IEEE Conference on Decision and Control and European Control Conference
Year: 2011
Volume:
Issue:
Pages: 928–933
Publisher: IEEE
DOI: 10.1109/cdc.2011.6160480

BibTeX

@inproceedings{Jacobs_2011,
  title={{Interconnection and composition of Dirac structures for Lagrange-Dirac systems}},
  DOI={10.1109/cdc.2011.6160480},
  booktitle={{IEEE Conference on Decision and Control and European Control Conference}},
  publisher={IEEE},
  author={Jacobs, Henry O. and Yoshimura, Hiroaki},
  year={2011},
  pages={928--933}
}

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References

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