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

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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

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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

Cite this

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AB - 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.

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KW - math.CA

KW - 34C20, 65P10, 70H33, 93B10, 93B1, 93C05

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Structure preserving model order reduction of port-Hamiltonian systems

Abstract

Keywords

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Datasets

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

Cite this