(Sub)Optimal feedback control of mean field multi-population dynamics
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Published version
Author(s)
Albi, Giacomo
Kalise, Dante
Type
Journal Article
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.
Date Issued
2018-06-01
Date Acceptance
2018-02-01
Citation
IFAC-PapersOnLine, 2018, 51 (3), pp.86-91
ISSN
2405-8963
Publisher
IFAC Secretariat
Start Page
86
End Page
91
Journal / Book Title
IFAC-PapersOnLine
Volume
51
Issue
3
Copyright Statement
© 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000435701200016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Agent-based models
multi-population dynamics
optimal feedback control
mean field models
PROGRAMMING EQUATIONS
OPINION FORMATION
BOLTZMANN
ALGORITHMS
MODELS
Publication Status
Published
Coverage Spatial
Univ Tecnica Federico Santa Maria, Valparaiso, CHILE
Date Publish Online
2018-06-18