Infinite-dimensional port-Hamiltonian systems with a stationary interface

Authors

Alexander Kilian, Bernhard Maschke, Andrii Mironchenko, Fabian Wirth

Abstract

We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated C 0 -semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.

Keywords

Port-Hamiltonian systems; Strongly continuous semigroups; Stationary interface; Exponential stability

Citation

• Journal: European Journal of Control
• Year: 2025
• Volume: 82
• Issue:
• Pages: 101190
• Publisher: Elsevier BV
• DOI: 10.1016/j.ejcon.2025.101190

BibTeX

@article{Kilian_2025,
  title={{Infinite-dimensional port-Hamiltonian systems with a stationary interface}},
  volume={82},
  ISSN={0947-3580},
  DOI={10.1016/j.ejcon.2025.101190},
  journal={European Journal of Control},
  publisher={Elsevier BV},
  author={Kilian, Alexander and Maschke, Bernhard and Mironchenko, Andrii and Wirth, Fabian},
  year={2025},
  pages={101190}
}

Download the bib file

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