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arXiv · 1708.06129

Non-invasive control of the fractional Hegselmann-Krause type model

Ricardo Almeida·Agnieszka B. Malinowska·Tatiana Odzijewicz
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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.

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Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz. 2017-08-21. Non-invasive control of the fractional Hegselmann-Krause type model. https://arxiv.org/abs/1708.06129

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