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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.01975 |
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| _version_ | 1866912569206243328 |
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| author | Eldesoukey, Asmaa Abdelgalil, Mahmoud Georgiou, Tryphon T. |
| author_facet | Eldesoukey, Asmaa Abdelgalil, Mahmoud Georgiou, Tryphon T. |
| contents | We consider control and inference problems where control protocols and internal dynamics are informed by two types of constraints. Our data consist of i) statistics on the ensemble and ii) trajectories or final disposition of selected tracer particles embedded in the flow. Our aim is i') to specify a control protocol to realize a flow that meets such constraints or ii') to recover the internal dynamics that are consistent with such a data set. We analyze these problems in the setting of linear flows and Gaussian distributions. The control cost is taken to be a suitable action integral constrained by either the trajectories of tracer particles or their terminal placements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collective steering: Tracer-informed dynamics Eldesoukey, Asmaa Abdelgalil, Mahmoud Georgiou, Tryphon T. Optimization and Control We consider control and inference problems where control protocols and internal dynamics are informed by two types of constraints. Our data consist of i) statistics on the ensemble and ii) trajectories or final disposition of selected tracer particles embedded in the flow. Our aim is i') to specify a control protocol to realize a flow that meets such constraints or ii') to recover the internal dynamics that are consistent with such a data set. We analyze these problems in the setting of linear flows and Gaussian distributions. The control cost is taken to be a suitable action integral constrained by either the trajectories of tracer particles or their terminal placements. |
| title | Collective steering: Tracer-informed dynamics |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2505.01975 |