Energy-stable Port-Hamiltonian Systems

Patrick Buchfink; Silke Glas; Hans Zwart

doi:10.48550/arXiv.2506.06471

Energy-stable Port-Hamiltonian Systems

Patrick Buchfink, Silke Glas, Hans Zwart

Mathematical Systems Theory

Research output: Working paper › Preprint › Academic

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Abstract

We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (espH) systems. The idea is to extend the known energy-stable systems with an input-output port, which results in a pH formulation. One advantage of the new espH formulation is that it naturally preserves its espH structure throughout discretization (in space and time) and model reduction.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2506.06471
Publication status	Published - 6 Jun 2025

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math.NA
cs.NA

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10.48550/arXiv.2506.06471Licence: CC BY

2506.06471v1Final published version, 517 KBLicence: CC BY

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AB - We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (espH) systems. The idea is to extend the known energy-stable systems with an input-output port, which results in a pH formulation. One advantage of the new espH formulation is that it naturally preserves its espH structure throughout discretization (in space and time) and model reduction.

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Energy-stable Port-Hamiltonian Systems

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