On the existence of optimal consensus control for the fractional Cucker-Smale model

被引：6
|
作者：
Almeida, R. [1 ]
Kamocki, R. [2 ]
Malinowska, A. B. [3 ]
Odzijewicz, T. [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：
ARCHIVES OF CONTROL SCIENCES | 2020年 / 30卷 / 04期
关键词：
fractional calculus; fractional differential systems; flocking model; consensus; optimal control; EMERGENT BEHAVIOR; FLOCKING;
D O I：
10.24425/acs.2020.135844
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper addresses the nonlinear Cucker-Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.
引用
收藏
页码：625 / 651
页数：27
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