Optimal Leader-Follower Control for the Fractional Opinion Formation Model
Agnieszka Malinowska , R. Almeida , T. Odzijewicz
AbstractThis 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.
|Journal series||Journal of Optimization Theory and Applications, ISSN 0022-3239, (N/A 70 pkt)|
|Publication size in sheets||0.7|
|Keywords in English||s Opinion formation models · Consensus problem · Fractional derivatives · Optimal control · Variational integrators|
|ASJC Classification||; ;|
|Score|| = 36.0, 28-12-2018, manual|
= 70.0, 23-03-2020, ArticleFromJournal
|Publication indicators||: 2018 = 1.406; : 2018 = 1.6 (2) - 2018=1.749 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.