On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem

被引：16

作者：

Almeida, Ricardo ^{[1
]}

Kamocki, Rafal ^{[2
]}

Malinowska, Agnieszka B. ^{[3
]}

Odzijewicz, Tatiana ^{[4
]}

机构：

[1] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[2] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

[3] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

[4] SGH Warsaw Sch Econ, Dept Math & Math Econ, PL-02554 Warsaw, Poland

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 96卷

关键词：

Fractional calculus; Fractional differential systems; Flocking model; Multi-agent systems; Consensus optimal control; SPARSE STABILIZATION; NONLOCAL MODEL; FLOCKING;

D O I：

10.1016/j.cnsns.2020.105678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops a sparse flocking control for the fractional Cucker-Smale multi-agent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the self-organization of group its history and memory dependency. External control is designed based on necessary conditions for a local solution to the appropriate optimal control problem. Numerical simulations demonstrate the effectiveness of the control scheme. (c) 2020 Elsevier B.V. All rights reserved.

引用

页数：22

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