Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model |
| Type de publication | Conference Paper |
| Year of Publication | 2019 |
| Auteurs | Bakir T., Bonnard B., Rouot J. |
| Conference Name | 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) |
| Publisher | IEEE |
| Conference Location | 345 E 47TH ST, NEW YORK, NY 10017 USA |
| ISBN Number | 978-1-7281-1398-2 |
| Mots-clés | Geometric control, Pontryagin maximum principle, Singularity theory |
| Résumé | In the time minimal control problem, singular arcs are omnipresent to determine the optimal solutions and this leads to the well known turnpike phenomenon in Very recently, this connection between singular arcs using a bang arc was shown to be relevant to saturate a single spin in Magnetic Resonance Imaging. Based on this example we propose a mathematical model to analyze such connection, which is called a bridge. This is applied to compute bridges in the optimization of chemical reaction networks using temperature control. |