Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/23675
Title: Non-invasive control of the fractional Hegselmann-Krause type model
Author: Almeida, Ricardo
Malinowska, A.B.
Odzijewicz, T.
Keywords: Hegselmann–Krause model
Consensus
Fractional derivatives
Optimal control
Issue Date: 2019
Publisher: Springer
Abstract: In this paper, the fractional order Hegselmann–Krause type model with leadership is studied. We seek an optimal control strategy for the system to reach a consensus in such a way that the control mechanism is included in the leader dynamics. Necessary optimality conditions are obtained by the use of a fractional counterpart of Pontryagin Maximum Principle. The effectiveness of the proposed control strategy is illustrated by numerical examples.
URI: http://hdl.handle.net/10773/23675
DOI: 10.1007/978-3-319-78458-8_2
ISBN: 1876-1100
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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