Mean field systems:the optimal control approach based
Viorel Barbu
TL;DR
This paper presents an optimal control framework for mean-field systems by formulating the mean-field game as an Euler-Lagrange system linked to a Fokker-Planck governed control problem.
Contribution
It introduces a novel approach connecting mean-field games with optimal control through Euler-Lagrange equations and Fokker-Planck dynamics.
Findings
Establishes a new theoretical link between mean-field games and optimal control.
Provides a mathematical formulation for controlling mean-field systems.
Lays groundwork for future computational methods in mean-field control.
Abstract
The mean-field game system is treated as an Euler Lagrange system corresponding to an optimal control problem governed by Fokker-Planck equation.
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Taxonomy
TopicsSpacecraft Dynamics and Control