Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910312639234048 |
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| author | Ackermann, Julia Ehrhardt, Matthias Kruse, Thomas Tordeux, Antoine |
| author_facet | Ackermann, Julia Ehrhardt, Matthias Kruse, Thomas Tordeux, Antoine |
| contents | This study revisits a recently proposed symmetric port-Hamiltonian single-file model in one dimension. The uniform streaming solutions are stable in the deterministic model. However, the introduction of white noise into the dynamics causes the model to exhibit divergence. In response, we introduce a control term in a port-Hamiltonian framework. Our results show that this control term effectively stabilises the dynamics even in the presence of noise, providing valuable insights for the control of road traffic flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17954 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems Ackermann, Julia Ehrhardt, Matthias Kruse, Thomas Tordeux, Antoine Dynamical Systems 76A30, 82C22, 60H10, 37H30 This study revisits a recently proposed symmetric port-Hamiltonian single-file model in one dimension. The uniform streaming solutions are stable in the deterministic model. However, the introduction of white noise into the dynamics causes the model to exhibit divergence. In response, we introduce a control term in a port-Hamiltonian framework. Our results show that this control term effectively stabilises the dynamics even in the presence of noise, providing valuable insights for the control of road traffic flows. |
| title | Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems |
| topic | Dynamical Systems 76A30, 82C22, 60H10, 37H30 |
| url | https://arxiv.org/abs/2401.17954 |