Published September 14, 2024
| Version 1..0
Software
Open
An Active Sampling Strategy for Quadrature-based Balanced Truncation for Structured Linear Systems
Authors/Creators
- 1. Max Planck Institute for Dynamics of Complex Technical Systems
Description
An Active Sampling Strategy for Quadrature-based Balanced Truncation for Structured Linear Systems
This repository contains a MATLAB/OCTAVE implementation of an algorithm that actively samples quadrature points to construct low-rank factors of the reachability and observability Gramians for linear structured systems presented in [3]. The active sampling strategy is an extended version of [2].
To reproduce the results and the images reported in the paper, please follow the instructions in the README-file.
Files
code_BTactive.zip
Files
(8.1 MB)
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Additional details
Related works
- References
- Software: 10.5281/zenodo.4600763 (DOI)
- Software: 10.5281/zenodo.11980821 (DOI)
References
- Benner P, Goyal P, Pontes Duff I, Identification of dominant subspaces for model reduction of structured parametric systems. *Int J Numer Methods Eng.* 2024; e7496. doi: 10.1002/nme.7496
- Reddig C, Goyal P, Pontes Duff I, Benner P, Active sampling of interpolation points to identify dominant subspaces for model reduction, (2024), arXiv preprint arXiv:2409.03892, https://arxiv.org/abs/2409.03892
- Reddig C, Goyal P, Pontes Duff I, Benner P, An Active Sampling Strategy for Quadrature-based Balanced Truncation for Structured Linear Systems, (2024), submitted to at - Automatisierungstechnik
- Niconet e.V., SLICOT - Subroutine Library in Systems and Control Theory, http://www.slicot.org
- Michiels W, Jarlebring E, and Meerbergen K, Krylov-based model order reduction of time-delay systems, *SIAM J. Matrix Anal. Appl.*, 32 (2011), pp. 1399–1421, doi:10.1137/100797436
- Oberwolfach Benchmark Collection, Butterfly Gyroscope. hosted at MORwiki - Model Order Reduction Wiki, 2004. http://modelreduction.org/index.php/Butterfly_Gyroscope
- Benner, P., & Werner, S. W. R. (2021). SOLBT - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (3.0). Zenodo. https://doi.org/10.5281/zenodo.4600763