OPTIMAL CONTROL OF THE DISCRETE-TIME FRACTIONAL-ORDER CUCKER SMALE MODEL

被引:0
作者
Malinowska, Agnieszka B. [1 ]
Odzijewicz, Tatiana [2 ]
机构
[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
[2] Warsaw Sch Econ, Dept Math & Math Econ, PL-02554 Warsaw, Poland
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 01期
关键词
Cucker-Smale model; emergent behavior; fractional difference; optimal control; BEHAVIOR;
D O I
10.3934/dcdsb.2018023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain necessary optimality conditions for the discrete-time fractional-order Cucker-Smale optimal control problem. By using fractional order differences on the left side of nonlinear system we introduce memory effects to the considered problem.
引用
收藏
页码:347 / 357
页数:11
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