Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26319
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 |
URI: | http://hdl.handle.net/10773/26319 |
DOI: | 10.1007/s10957-018-1363-9 |
ISSN: | 0022-3239 |
Publisher Version: | https://link.springer.com/article/10.1007/s10957-018-1363-9 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[2019] Optimal Leader–Follower Control for the Fractional Opinion Formation Model.pdf | 697.58 kB | Adobe PDF |
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