Using infinitesimal symmetries for determining the first Maxwell time of geometric control problem on SH(2)
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909525500493824 |
|---|---|
| author | Ezzeroual, Soukaina Sadik, Brahim |
| author_facet | Ezzeroual, Soukaina Sadik, Brahim |
| contents | In this work, we utilize infinitesimal symmetries to compute Maxwell points which play a crucial role in studying sub-Riemannian control problems. By examining the infinitesimal symmetries of the geometric control problem on the SH(2) group, particularly through its Lie algebraic structure, we identify invariant quantities and constraints that streamline the Maxwell point computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03386 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Using infinitesimal symmetries for determining the first Maxwell time of geometric control problem on SH(2) Ezzeroual, Soukaina Sadik, Brahim Optimization and Control 53C17, 93C10, 22E60, 93B05, 53C22 In this work, we utilize infinitesimal symmetries to compute Maxwell points which play a crucial role in studying sub-Riemannian control problems. By examining the infinitesimal symmetries of the geometric control problem on the SH(2) group, particularly through its Lie algebraic structure, we identify invariant quantities and constraints that streamline the Maxwell point computation. |
| title | Using infinitesimal symmetries for determining the first Maxwell time of geometric control problem on SH(2) |
| topic | Optimization and Control 53C17, 93C10, 22E60, 93B05, 53C22 |
| url | https://arxiv.org/abs/2503.03386 |