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arXiv · 1802.01529

Optimal consensus control of the Cucker-Smale model

Rafael Bailo·Mattia Bongini·José A. Carrillo·Dante Kalise
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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 $\ell_1$-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.

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Rafael Bailo, Mattia Bongini, José A. Carrillo, Dante Kalise. 2018-02-05. Optimal consensus control of the Cucker-Smale model. https://doi.org/10.1016/j.ifacol.2018.07.245

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