Singular Arcs on Average Optimal Control-Affine Problems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914171599192064 |
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| author | Aronna, Maria Soledad Monteiro, Gabriel de Lima Sierra, Oscar |
| author_facet | Aronna, Maria Soledad Monteiro, Gabriel de Lima Sierra, Oscar |
| contents | In this paper we address optimal control problems in which the system parameters follow a probability distribution, and the optimization is based on average performance. These problems, known as Riemann-Stieltjes optimal control or optimal ensemble control problems, involve uncertainties that influence system dynamics. Focusing on control-affine systems, we apply the Pontryagin Maximum Principle to characterize singular arcs in a feedback form. To demonstrate the practical relevance of our approach, we apply it to the sterile insect technique, a biological pest control method. Numerical simulations confirm the effectiveness of our framework in addressing control problems under uncertainty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Singular Arcs on Average Optimal Control-Affine Problems Aronna, Maria Soledad Monteiro, Gabriel de Lima Sierra, Oscar Optimization and Control 49J15 In this paper we address optimal control problems in which the system parameters follow a probability distribution, and the optimization is based on average performance. These problems, known as Riemann-Stieltjes optimal control or optimal ensemble control problems, involve uncertainties that influence system dynamics. Focusing on control-affine systems, we apply the Pontryagin Maximum Principle to characterize singular arcs in a feedback form. To demonstrate the practical relevance of our approach, we apply it to the sterile insect technique, a biological pest control method. Numerical simulations confirm the effectiveness of our framework in addressing control problems under uncertainty. |
| title | Singular Arcs on Average Optimal Control-Affine Problems |
| topic | Optimization and Control 49J15 |
| url | https://arxiv.org/abs/2503.20569 |