Sparse identification of time delay systems via pseudospectral collocation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913458270765056 |
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| author | Bozzo, Enrico Breda, Dimitri Tanveer, Muhammad |
| author_facet | Bozzo, Enrico Breda, Dimitri Tanveer, Muhammad |
| contents | We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a system of ordinary differential equations via pseudospectral collocation. To minimize the reconstruction error, the new strategy avoids optimizing all possible multiple unknown delays, identifying only the maximum one. The computational burden is thus greatly reduced, improving the performance of recent implementations that work directly on the delay system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01971 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sparse identification of time delay systems via pseudospectral collocation Bozzo, Enrico Breda, Dimitri Tanveer, Muhammad Dynamical Systems Numerical Analysis We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a system of ordinary differential equations via pseudospectral collocation. To minimize the reconstruction error, the new strategy avoids optimizing all possible multiple unknown delays, identifying only the maximum one. The computational burden is thus greatly reduced, improving the performance of recent implementations that work directly on the delay system. |
| title | Sparse identification of time delay systems via pseudospectral collocation |
| topic | Dynamical Systems Numerical Analysis |
| url | https://arxiv.org/abs/2408.01971 |