Hamiltonian representation of distributed parameter systems with boundary energy flow

Authors

Bernhard M. Maschke, Arjan van der Schaft

Abstract

Recently a port controlled Hamiltonian formulation of the dynamics of distributed parameter systems has been presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative and based on Stokes’ theorem. The definition has already been shown to encompass the examples of the telegrapher’s equations, Maxwell’s equations, the vibrating string, and the one-dimensional compressible fluid.

Keywords

dirac structure, distribute parameter system, exterior derivative, hamiltonian formulation, hamiltonian system

Citation

• ISBN: 9781852333645
• Publisher: Springer London
• DOI: 10.1007/bfb0110297

BibTeX

@inbook{Maschke_2001,
  title={{Hamiltonian representation of distributed parameter systems with boundary energy flow}},
  ISBN={9781846285691},
  ISSN={1610-7411},
  DOI={10.1007/bfb0110297},
  booktitle={{Nonlinear control in the year 2000 volume 2}},
  publisher={Springer London},
  author={Maschke, Bernhard M. and van der Schaft, Arjan},
  year={2001},
  pages={137--142}
}

Download the bib file

References

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