Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26319
Título: | Optimal leader–follower control for the fractional opinion formation model |
Autor: | Almeida, Ricardo Malinowska, Agnieszka B. Odzijewicz, Tatiana |
Palavras-chave: | Opinion formation models Consensus problem Fractional derivatives Optimal control Variational integrators |
Data: | 2019 |
Editora: | Springer |
Resumo: | 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 |
Versão do Editor: | https://link.springer.com/article/10.1007/s10957-018-1363-9 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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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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