Fractional opinion formation models with leadership

被引：0
|
作者：
Almeida, Ricardo [1 ]
Malinowska, Agnieszka B. [2 ]
Odzijewicz, Tatiana [3 ]
机构：
[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, Aveiro, Portugal
[2] Bialystok Tech Univ, Fac Comp Sci, Bialystok, Poland
[3] Warsaw Sch Econ, Dept Math & Math Econ, Warsaw, Poland
来源：
2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR) | 2018年
关键词：
DYNAMIC-SYSTEMS; DISCRETE-TIME; CONSENSUS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper studies two types of fractional opinion formation models with leader: the Hegselmann-Krause and the Cucker-Smale. We aim to design an optimal control strategy for the systems to reach a consensus. A numerical scheme, based on Grunwald-Letnikov approximation of the Caputo fractional derivative, is proposed for solving the fractional optimal control problem. The effectiveness of the proposed control strategy is illustrated by examples.
引用
收藏
页码：259 / 264
页数：6
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