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PreprintCC BY 4.0arXiv

Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback

  • Bouchra Elghazi
  • Birgit Jacob
  • Christophe Prieur
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Abstract

The input-to-state stability of a class of infinite-dimensional second-order port-Hamiltonian systems on a one-dimensional spatial domain is analyzed under nonlinear dynamic boundary feedback and boundary disturbances. Using energy methods in the port-Hamiltonian framework, we obtain sufficient conditions that guarantee uniform input-to-state stability of the closed-loop system.

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Cite

BibTeXRIS
BibTeX
@misc{elghazi2026inputtostate,
  title = {{Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback}},
  author = {Bouchra Elghazi and Birgit Jacob and Christophe Prieur},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39948},
  eprint = {2609.39948},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39948},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback
AU  - Bouchra Elghazi
AU  - Birgit Jacob
AU  - Christophe Prieur
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39948
UR  - https://arxiv.org/abs/2609.39948
AB  - The input-to-state stability of a class of infinite-dimensional second-order port-Hamiltonian systems on a one-dimensional spatial domain is analyzed under nonlinear dynamic boundary feedback and boundary disturbances. Using energy methods in the port-Hamiltonian framework, we obtain sufficient conditions that guarantee uniform input-to-state stability of the closed-loop system.
ER  -