Snapshot-driven Rational Interpolation of Parametric Systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911900593291264 |
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| author | Pelling, Art J. R. Cherifi, Karim Gosea, Ion Victor Sarradj, Ennes |
| author_facet | Pelling, Art J. R. Cherifi, Karim Gosea, Ion Victor Sarradj, Ennes |
| contents | Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on snapshots of the parameter space. The parameter snapshots are interpolated using the classical univariate Loewner framework and the global bivariate transfer function is extracted using a linear fractional transformation (LFT). Rank bounds for the minimal order of the global realization are also derived. The results are supported by various numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01236 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Snapshot-driven Rational Interpolation of Parametric Systems Pelling, Art J. R. Cherifi, Karim Gosea, Ion Victor Sarradj, Ennes Dynamical Systems 35B30, 37M99, 41A20, 74H15, 93C05 Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on snapshots of the parameter space. The parameter snapshots are interpolated using the classical univariate Loewner framework and the global bivariate transfer function is extracted using a linear fractional transformation (LFT). Rank bounds for the minimal order of the global realization are also derived. The results are supported by various numerical examples. |
| title | Snapshot-driven Rational Interpolation of Parametric Systems |
| topic | Dynamical Systems 35B30, 37M99, 41A20, 74H15, 93C05 |
| url | https://arxiv.org/abs/2406.01236 |