Formal Distributed Port-Hamiltonian Representation of Field Equations

Authors

null Gou Nishida, M. Yamakita

Abstract

The purpose of this study is to establish a unified modeling procedure of distributed port-Hamiltonian formulations for field equations. First, higher order Stokes-Dirac structures on variational complexes of jet bundles are introduced. Next, a one-to-one correspondence between Euler-Lagrange equations and distributed port-Hamiltonian systems is presented. Finally, in the case that the Lagrangian is given, the concrete transformation procedure for distributed port-Hamiltonian systems is explained by using two examples.

Citation

• Journal: Proceedings of the 44th IEEE Conference on Decision and Control
• Year: 2006
• Volume:
• Issue:
• Pages: 6009–6015
• Publisher: IEEE
• DOI: 10.1109/cdc.2005.1583123

BibTeX

@inproceedings{Gou_Nishida,
  title={{Formal Distributed Port-Hamiltonian Representation of Field Equations}},
  DOI={10.1109/cdc.2005.1583123},
  booktitle={{Proceedings of the 44th IEEE Conference on Decision and Control}},
  publisher={IEEE},
  author={Gou Nishida and Yamakita, M.},
  pages={6009--6015}
}

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References

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