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Optimal consensus control of the Cucker-Smale model

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Title: Optimal consensus control of the Cucker-Smale model
Authors: Bailo, R
Bongini, M
Carrillo, JA
Kalise, D
Item Type: Journal Article
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 penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth l1-norm control penalisations, 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.
Issue Date: 1-Sep-2018
Date of Acceptance: 21-Mar-2018
URI: http://hdl.handle.net/10044/1/62867
DOI: https://dx.doi.org/10.1016/j.ifacol.2018.07.245
ISSN: 2405-8963
Publisher: IFAC Secretariat
Start Page: 1
End Page: 6
Journal / Book Title: IFAC-PapersOnLine
Volume: 51
Issue: 13
Copyright Statement: © 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd.
Keywords: Agent-based models
Cucker-Smale model
consensus control
optimal control
first-order optimality conditions
sparse control
mean-field modelling.
EMERGENT BEHAVIOR
FLOCKING DYNAMICS
PARTICLE
Publication Status: Published
Conference Place: Guadalajara, MEXICO
Open Access location: https://www.sciencedirect.com/science/article/pii/S2405896318309972
Online Publication Date: 2018-08-31
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics



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