Skip to content
DraconiticResearch
Search Sources API
181,713 studies31 sourcesUpdated 16 min ago
PreprintCC BY 4.0arXiv

A class of port-Hamiltonian systems with general time delays

  • Rogelio Arancibia Bustos
  • Bálint Farkas
  • Birgit Jacob
  • Merlin Schmitz
Open at sourcePDFDOICite

Abstract

We define a class of infinite dimensional linear port-Hamiltonian delay systems, give a characterization for such systems, and provide an easily verifiable sufficient condition to belong to this class, thereby extending the study by Breiten, Hinsen and Unger in [IEEE Trans. Autom. Control vol. 69, no. 12 (2024), pp. 8924-8930, doi: 10.1109/TAC.2024.3464332]. The results rely on the operator semigroup theoretic treatment of linear delay PDEs.

Related

  1. Exponential stability of port-Hamiltonian systems with unstructured, measurable Hamiltonian densities
    Heinrich Kuettler, Marcus Waurick
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv
  2. Input-to-state stability of second-order port-Hamiltonian systems under nonlinear dynamic boundary feedback
    Bouchra Elghazi, Birgit Jacob, Christophe Prieur
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  3. Nonlinear differential-algebraic systems with dissipative port-Hamiltonian structure
    Volker Mehrmann, Arjan van der Schaft
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  4. On the Stability Analysis of Infinite-Dimensional Port-Hamiltonian Systems Within the Variational Framework
    Moritz Leitner, Lukas Ecker, Markus Schöberl
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv
  5. Interconnection of port-Hamiltonian systems is not dynamical
    Jonas Kirchhoff
    arXivPreprintCC BY 4.0Full textDynamical systemsarXiv

Cite

BibTeXRIS
BibTeX
@misc{bustos2026class,
  title = {{A class of port-Hamiltonian systems with general time delays}},
  author = {Rogelio Arancibia Bustos and Bálint Farkas and Birgit Jacob and Merlin Schmitz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.05726},
  eprint = {2609.05726},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05726},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A class of port-Hamiltonian systems with general time delays
AU  - Rogelio Arancibia Bustos
AU  - Bálint Farkas
AU  - Birgit Jacob
AU  - Merlin Schmitz
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.05726
UR  - https://arxiv.org/abs/2609.05726
AB  - We define a class of infinite dimensional linear port-Hamiltonian delay systems, give a characterization for such systems, and provide an easily verifiable sufficient condition to belong to this class, thereby extending the study by Breiten, Hinsen and Unger in [IEEE Trans. Autom. Control vol. 69, no. 12 (2024), pp. 8924-8930, doi: 10.1109/TAC.2024.3464332]. The results rely on the operator semigroup theoretic treatment of linear delay PDEs.
ER  -