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Title: Optimal leader–follower control for the fractional opinion formation model
Author: Almeida, Ricardo
Malinowska, Agnieszka B.
Odzijewicz, Tatiana
Keywords: Opinion formation models
Consensus problem
Fractional derivatives
Optimal control
Variational integrators
Issue Date: 2019
Publisher: Springer
Abstract: This paper deals with an opinion formation model, that obeys a nonlinear system of fractional-order differential equations. We introduce a virtual leader in order to attain a consensus. Sufficient conditions are established to ensure that the opinions of all agents globally asymptotically approach the opinion of the leader. We also address the problem of designing optimal control strategies for the leader so that the followers tend to consensus in the most efficient way. A variational integrator scheme is applied to solve the leader–follower optimal control problem. Finally, in order to verify the theoretical analysis, several particular examples are presented.
Peer review: yes
DOI: 10.1007/s10957-018-1363-9
ISSN: 0022-3239
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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