Optimal consensus control of the Cucker-Smale model
Optimization and Control
2018-09-24 v2 Dynamical Systems
Numerical Analysis
Abstract
We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalization fo the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth -norm control penalizations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach.
Cite
@article{arxiv.1802.01529,
title = {Optimal consensus control of the Cucker-Smale model},
author = {Rafael Bailo and Mattia Bongini and José A. Carrillo and Dante Kalise},
journal= {arXiv preprint arXiv:1802.01529},
year = {2018}
}