(Sub)Optimal feedback control of mean field multi-population dynamics
Optimization and Control
2018-03-02 v1 Numerical Analysis
Abstract
We study a multiscale approach for the control of agent-based, two-population models. The control variable acts over one population of leaders, which influence the population of followers via the coupling generated by their interaction. We cast a quadratic optimal control problem for the large-scale microscale model, which is approximated via a Boltzmann approach. By sampling solutions of the optimal control problem associated to binary two-population dynamics, we generate sub-optimal control laws for the kinetic limit of the multi-population model. We present numerical experiments related to opinion dynamics assessing the performance of the proposed control design.
Keywords
Cite
@article{arxiv.1803.00301,
title = {(Sub)Optimal feedback control of mean field multi-population dynamics},
author = {Giacomo Albi and Dante Kalise},
journal= {arXiv preprint arXiv:1803.00301},
year = {2018}
}