Optimal control problems on the co-adjoint Lie groupoids
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916494953152512 |
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| author | Haghighatdoost, Ghorbanali |
| author_facet | Haghighatdoost, Ghorbanali |
| contents | In this work we study the invariant optimal control problem on Lie groupoids. We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16640 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal control problems on the co-adjoint Lie groupoids Haghighatdoost, Ghorbanali Optimization and Control Mathematical Physics In this work we study the invariant optimal control problem on Lie groupoids. We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example. |
| title | Optimal control problems on the co-adjoint Lie groupoids |
| topic | Optimization and Control Mathematical Physics |
| url | https://arxiv.org/abs/2411.16640 |