On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916120522391552 |
|---|---|
| author | Bartsch, Jan Borzi, Alfio |
| author_facet | Bartsch, Jan Borzi, Alfio |
| contents | The construction of feedback-like control fields for a kinetic model in phase space is investigated. The purpose of these controls is to drive an initial density of particles in the phase space to reach a desired cyclic trajectory and follow it in a stable way. For this purpose, an ensemble optimal control problem governed by the kinetic model is formulated in a way that is amenable to a Monte Carlo approach. The proposed formulation allows to define a one-shot solution procedure consisting in a backward solve of an augmented adjoint kinetic model. Results of numerical experiments demonstrate the effectiveness of the proposed control strategy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00896 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework Bartsch, Jan Borzi, Alfio Optimization and Control 49M05, 49M41, 65C05, 65K10 The construction of feedback-like control fields for a kinetic model in phase space is investigated. The purpose of these controls is to drive an initial density of particles in the phase space to reach a desired cyclic trajectory and follow it in a stable way. For this purpose, an ensemble optimal control problem governed by the kinetic model is formulated in a way that is amenable to a Monte Carlo approach. The proposed formulation allows to define a one-shot solution procedure consisting in a backward solve of an augmented adjoint kinetic model. Results of numerical experiments demonstrate the effectiveness of the proposed control strategy. |
| title | On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework |
| topic | Optimization and Control 49M05, 49M41, 65C05, 65K10 |
| url | https://arxiv.org/abs/2309.00896 |