Delay-dependent passivity and stability of linear port-Hamiltonian systems

Ikram El Haskouki; Hannes Gernandt

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arXiv · 2606.13897

Delay-dependent passivity and stability of linear port-Hamiltonian systems

Ikram El Haskouki·Hannes Gernandt

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Abstract

We study delay-dependent and independent passivity properties of linear port-Hamiltonian systems with delay terms. We derive passivity conditions using a particular storage function and Wirtinger-based inequalities. Furthermore, we recall several conditions for delay-dependent and independent exponential stability. Finally, we present an application of our passivity and stability results to delay equations arising in the modeling of district heating networks and oscillators with delayed damping and stiffness.

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Ikram El Haskouki, Hannes Gernandt. 2026-06-11. Delay-dependent passivity and stability of linear port-Hamiltonian systems. https://arxiv.org/abs/2606.13897

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