A Case Study of Port-Hamiltonian Systems With a Moving Interface

Authors

Alexander Kilian, Bernhard Maschke, Andrii Mironchenko, Fabian Wirth

Abstract

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows that these conditions are quite restrictive. The more general question under which conditions an evolution family is generated remains open.

Citation

• Journal: IEEE Control Systems Letters
• Year: 2023
• Volume: 7
• Issue:
• Pages: 1572–1577
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/lcsys.2023.3272171

BibTeX

@article{Kilian_2023,
  title={{A Case Study of Port-Hamiltonian Systems With a Moving Interface}},
  volume={7},
  ISSN={2475-1456},
  DOI={10.1109/lcsys.2023.3272171},
  journal={IEEE Control Systems Letters},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Kilian, Alexander and Maschke, Bernhard and Mironchenko, Andrii and Wirth, Fabian},
  year={2023},
  pages={1572--1577}
}

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References

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