A data-based image representation for continuous-time LTI systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908999287308288 |
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| author | Othmane, Amine Schmitz, Philipp Worthmann, Karl Flaßkamp, Kathrin |
| author_facet | Othmane, Amine Schmitz, Philipp Worthmann, Karl Flaßkamp, Kathrin |
| contents | We derive a numerically stable method to compute an image representation of an unknown linear system only from data, leveraging a continuous-time version of Willems et al.'s fundamental lemma. To this end, we use derivatives approximated by algebraic differentiators. Our novel image representation avoids solving differential-algebraic equations and significantly reduces computational complexity by eliminating redundant degrees of freedom corresponding to the number of unknown quantities to be identified. Simulation results confirm the effectiveness of the proposed approach, even in the presence of severe measurement disturbances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21606 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A data-based image representation for continuous-time LTI systems Othmane, Amine Schmitz, Philipp Worthmann, Karl Flaßkamp, Kathrin Optimization and Control We derive a numerically stable method to compute an image representation of an unknown linear system only from data, leveraging a continuous-time version of Willems et al.'s fundamental lemma. To this end, we use derivatives approximated by algebraic differentiators. Our novel image representation avoids solving differential-algebraic equations and significantly reduces computational complexity by eliminating redundant degrees of freedom corresponding to the number of unknown quantities to be identified. Simulation results confirm the effectiveness of the proposed approach, even in the presence of severe measurement disturbances. |
| title | A data-based image representation for continuous-time LTI systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2601.21606 |