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Energy-stable Port-Hamiltonian Systems

Published: June 6, 2025 | arXiv ID: 2506.06471v1

By: Patrick Buchfink, Silke Glas, Hans Zwart

Potential Business Impact:

Makes computer models keep their math rules.

Business Areas:
Embedded Systems Hardware, Science and Engineering, Software

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.

Page Count
10 pages

Category
Mathematics:
Numerical Analysis (Math)