Optimal Leader-Follower Control for the Fractional Opinion Formation Model

Agnieszka Malinowska , R. Almeida , T. Odzijewicz

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.
Author Agnieszka Malinowska (FCS / DM)
Agnieszka Malinowska,,
- Department of Mathematics
, R. Almeida
R. Almeida,,
-
, T. Odzijewicz
T. Odzijewicz,,
-
Journal seriesJournal of Optimization Theory and Applications, ISSN 0022-3239, (N/A 70 pkt)
Issue year2019
Vol182
No3
Pages1171-1185
Publication size in sheets0.7
Keywords in Englishs Opinion formation models · Consensus problem · Fractional derivatives · Optimal control · Variational integrators
ASJC Classification1803 Management Science and Operations Research; 2604 Applied Mathematics; 2606 Control and Optimization
DOIDOI:10.1007/s10957-018-1363-9
Internal identifier000043933
Languageen angielski
Score (nominal)70
Score sourcejournalList
ScoreBUT score = 36.0, 28-12-2018, manual
Ministerial score = 70.0, 23-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.406; WoS Impact Factor: 2018 = 1.6 (2) - 2018=1.749 (5)
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