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Article overview
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On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework | | Jan Bartsch
; Alfio Borzi
; | | Date: |
2 Sep 2023 | | Abstract: | 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 on
the phase space 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. | | Source: | arXiv, 2309.00896 | | Services: | Forum | Review | PDF | Favorites | |
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