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

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2024

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Borzì, Alfio

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https://doi.org/10.3934/krm.2024005
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Deutsche Forschungsgemeinschaft (DFG): 425217212

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Kinetic and Related Models. American Institute of Mathematical Sciences (AIMS), pp. 0-0. ISSN 1937-5093. eISSN 1937-5077. Available under: doi: 10.3934/krm.2024005

Zusammenfassung

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.

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510 Mathematik

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ISO 690BARTSCH, Jan, Alfio BORZÌ, 2024. On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework. In: Kinetic and Related Models. American Institute of Mathematical Sciences (AIMS), pp. 0-0. ISSN 1937-5093. eISSN 1937-5077. Available under: doi: 10.3934/krm.2024005
BibTex
@article{Bartsch2024stabi-69556,
  year={2024},
  doi={10.3934/krm.2024005},
  title={On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework},
  issn={1937-5093},
  journal={Kinetic and Related Models},
  pages={0--0},
  author={Bartsch, Jan and Borzì, Alfio}
}
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