Energy-stable port-Hamiltonian systems

Patrick Buchfink; Silke Glas; Hans Zwart

doi:10.1016/j.aml.2025.109784

Energy-stable port-Hamiltonian systems

Patrick Buchfink
, Silke Glas^*
, Hans Zwart

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

2 Downloads (Pure)

Abstract

We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) 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 es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.

Original language	English
Article number	109784
Number of pages	7
Journal	Applied mathematics letters
Volume	173
DOIs	https://doi.org/10.1016/j.aml.2025.109784
Publication status	Published - Feb 2026

Keywords

UT-Hybrid-D
Model reduction
Port-Hamiltonian systems
Structure-preserving discretization
Energy-stable systems

Access to Document

10.1016/j.aml.2025.109784Licence: CC BY

ArticleFinal published version, 633 KBLicence: CC BY

Cite this

@article{57aa8fd3becd4ad9a9c499a713afceff,

title = "Energy-stable port-Hamiltonian systems",

abstract = "We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) 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 es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.",

keywords = "UT-Hybrid-D, Model reduction, Port-Hamiltonian systems, Structure-preserving discretization, Energy-stable systems",

author = "Patrick Buchfink and Silke Glas and Hans Zwart",

note = "Publisher Copyright: {\textcopyright} 2025 The Authors",

year = "2026",

month = feb,

doi = "10.1016/j.aml.2025.109784",

language = "English",

volume = "173",

journal = "Applied mathematics letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Energy-stable port-Hamiltonian systems

AU - Buchfink, Patrick

AU - Glas, Silke

AU - Zwart, Hans

PY - 2026/2

Y1 - 2026/2

N2 - We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) 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 es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.

AB - We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) 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 es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.

KW - UT-Hybrid-D

KW - Model reduction

KW - Port-Hamiltonian systems

KW - Structure-preserving discretization

KW - Energy-stable systems

UR - https://www.scopus.com/pages/publications/105018092461

U2 - 10.1016/j.aml.2025.109784

DO - 10.1016/j.aml.2025.109784

M3 - Article

AN - SCOPUS:105018092461

SN - 0893-9659

VL - 173

JO - Applied mathematics letters

JF - Applied mathematics letters

M1 - 109784

ER -

Energy-stable port-Hamiltonian systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Energy-stable Port-Hamiltonian Systems

Cite this