Structure preserving model order reduction of port-Hamiltonian systems

Mir Mamunuzzaman; Hans Zwart

doi:10.48550/arXiv.2203.07751

Structure preserving model order reduction of port-Hamiltonian systems

Mir Mamunuzzaman
, Hans Zwart

Research output: Working paper › Preprint › Academic

85 Downloads (Pure)

Abstract

This work proposes a structure-preserving model reduction method for linear, time-invariant port-Hamiltonian systems. We show that a low order system of the same type can be constructed which interpolates the original transfer function in a given set of frequencies.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2203.07751
Publication status	Published - 15 Mar 2022

Keywords

math.OC
math.CA
34C20, 65P10, 70H33, 93B10, 93B1, 93C05

Access to Document

10.48550/arXiv.2203.07751Licence: CC BY

2203.07751v1Final published version, 207 KBLicence: CC BY

MATLAB files underlying the manuscript: Symplectic Model Order Reduction of port-Hamiltonian Systems
Zwart, H. (Creator), 4TU.Centre for Research Data, 6 Nov 2024
DOI: 10.4121/1404db4b-ffce-4a3e-84e5-eb6be6f079f9, https://data.4tu.nl/datasets/1404db4b-ffce-4a3e-84e5-eb6be6f079f9 and 2 more links, https://data.4tu.nl/datasets/1404db4b-ffce-4a3e-84e5-eb6be6f079f9/1, https://doi.org/10.4121/1404db4b-ffce-4a3e-84e5-eb6be6f079f9.v1 (show fewer)
Dataset

1 Preprint

Symplectic model order reduction of port-Hamiltonian systems
Glas, S. M., Mamazzuman, M., Mu, H. & Zwart, H., 15 Oct 2025, ArXiv.org.
Research output: Working paper › Preprint › Academic

Open Access
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Cite this

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Structure preserving model order reduction of port-Hamiltonian systems

Abstract

Keywords

Access to Document

Fingerprint

Datasets

MATLAB files underlying the manuscript: Symplectic Model Order Reduction of port-Hamiltonian Systems

Research output

Symplectic model order reduction of port-Hamiltonian systems

Cite this