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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: | 978-331978457-1 |
Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[2019] Non-invasive Control of the Fractional Hegselmann-Krause Type Model.pdf | Documento principal | 10.16 MB | Adobe PDF |
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