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arXiv · 2609.05726

A class of port-Hamiltonian systems with general time delays

Rogelio Arancibia Bustos·Bálint Farkas·Birgit Jacob·Merlin Schmitz
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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.

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Rogelio Arancibia Bustos, Bálint Farkas, Birgit Jacob, Merlin Schmitz. 2026-09-04. A class of port-Hamiltonian systems with general time delays. https://arxiv.org/abs/2609.05726

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