On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework

Autor:	Bartsch, Jan, Borzi, Alfio
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control 49M05 49M41 65C05 65K10
Druh dokumentu:	Working Paper
DOI:	10.3934/krm.2024005
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.00896 Zobrazit plný text záznamu View this record from Arxiv