Structure preserving spatial discretization of 1D convection-diffusion port-Hamiltonian systems

Authors

T. Voss, S. Weiland

Abstract

Convection-diffusion is a physical phenomenon that appears in a multitude of dynamical systems, e.g. vibrating string with damping or chemical and thermal systems. This paper focuses on a structure preserving spatial discretization scheme of a general dynamical system with convection and diffusion in the port-Hamiltonian framework. The preservation of the port-Hamiltonian structure ensures that specific properties, such as passivity, of the infinite dimensional system are preserved.

Citation

• Journal: IEEE Conference on Decision and Control and European Control Conference
• Year: 2011
• Volume:
• Issue:
• Pages: 6979–6984
• Publisher: IEEE
• DOI: 10.1109/cdc.2011.6160259

BibTeX

@inproceedings{Voss_2011,
  title={{Structure preserving spatial discretization of 1D convection-diffusion port-Hamiltonian systems}},
  DOI={10.1109/cdc.2011.6160259},
  booktitle={{IEEE Conference on Decision and Control and European Control Conference}},
  publisher={IEEE},
  author={Voss, T. and Weiland, S.},
  year={2011},
  pages={6979--6984}
}

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References

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