Data-driven memory-dependent abstractions of dynamical systems via a Cantor-Kantorovich metric
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914795952799744 |
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| author | Banse, Adrien Romao, Licio Abate, Alessandro Jungers, Raphaël M. |
| author_facet | Banse, Adrien Romao, Licio Abate, Alessandro Jungers, Raphaël M. |
| contents | Abstractions of dynamical systems enable their verification and the design of feedback controllers using simpler, usually discrete, models. In this paper, we propose a data-driven abstraction mechanism based on a novel metric between Markov models. Our approach is based purely on observing output labels of the underlying dynamics, thus opening the road for a fully data-driven approach to construct abstractions. Another feature of the proposed approach is the use of memory to better represent the dynamics in a given region of the state space. We show through numerical examples the usefulness of the proposed methodology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08353 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Data-driven memory-dependent abstractions of dynamical systems via a Cantor-Kantorovich metric Banse, Adrien Romao, Licio Abate, Alessandro Jungers, Raphaël M. Systems and Control Abstractions of dynamical systems enable their verification and the design of feedback controllers using simpler, usually discrete, models. In this paper, we propose a data-driven abstraction mechanism based on a novel metric between Markov models. Our approach is based purely on observing output labels of the underlying dynamics, thus opening the road for a fully data-driven approach to construct abstractions. Another feature of the proposed approach is the use of memory to better represent the dynamics in a given region of the state space. We show through numerical examples the usefulness of the proposed methodology. |
| title | Data-driven memory-dependent abstractions of dynamical systems via a Cantor-Kantorovich metric |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2405.08353 |