Energy-stable port-Hamiltonian systems

Authors

Patrick Buchfink, Silke Glas, Hans Zwart

Abstract

We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) systems. The idea is to extend the known energy-stable systems with an input–output port, which results in a pH formulation. One advantage of the new es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.

Keywords

Energy-stable systems; Port-Hamiltonian systems; Structure-preserving discretization; Model reduction

Citation

• Journal: Applied Mathematics Letters
• Year: 2025
• Volume:
• Issue:
• Pages: 109784
• Publisher: Elsevier BV
• DOI: 10.1016/j.aml.2025.109784

BibTeX

@article{Buchfink_2025,
  title={{Energy-stable port-Hamiltonian systems}},
  ISSN={0893-9659},
  DOI={10.1016/j.aml.2025.109784},
  journal={Applied Mathematics Letters},
  publisher={Elsevier BV},
  author={Buchfink, Patrick and Glas, Silke and Zwart, Hans},
  year={2025},
  pages={109784}
}

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References

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