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
相关论文
共 50 条
  • [41] Optimal Control of Fractional-order Switching Stochastic Systems
    Fu, Qiaobin
    Zhang, Hongwei
    Fu, Yongqiang
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1923 - 1928
  • [42] Stability analysis and optimal control of a fractional-order model for African swine fever
    Shi, Ruiqing
    Li, Yang
    Wang, Cuihong
    VIRUS RESEARCH, 2020, 288
  • [43] ON CONSENSUS IN THE CUCKER SMALE TYPE MODEL ON ISOLATED TIME SCALES
    Girejko, Ewa
    Machado, Luis
    Malinowska, Agnieszka B.
    Martins, Natalia
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2018, 11 (01): : 77 - 89
  • [44] MATHEMATICAL MODELING AND OPTIMAL CONTROL STRATEGY FOR A DISCRETE-TIME CHOLERA MODEL
    Issam, Sahib
    Bouchaib, Khajji
    Labzai, Abdelrahim
    Hicham, Gourram
    Mohamed, Belam
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [45] Optimal Control of Nonlinear Fractional-Order Systems with Multiple Time-Varying Delays
    Liu, Chongyang
    Gong, Zhaohua
    Teo, Kok Lay
    Wang, Song
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 193 (1-3) : 856 - 876
  • [46] Optimal Control of Nonlinear Fractional-Order Systems with Multiple Time-Varying Delays
    Chongyang Liu
    Zhaohua Gong
    Kok Lay Teo
    Song Wang
    Journal of Optimization Theory and Applications, 2022, 193 : 856 - 876
  • [47] Flocking control for Cucker-Smale model under denial-of-service attacks
    Shi, Xiaoyu
    Shi, Lei
    Cheng, Yuhua
    Chen, Kai
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (18) : 9997 - 10010
  • [48] Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays
    Elisa Continelli
    Acta Applicandae Mathematicae, 2023, 188
  • [49] Uniform-in-time transition from discrete dynamics to continuous dynamics in the Cucker-Smale flocking
    Ha, Seung-Yeal
    Zhang, Xiongtao
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 28 (09) : 1699 - 1735
  • [50] Fully nonlinear Cucker-Smale model for pattern formation and damped oscillation control
    Kim, Jong -Ho
    Park, Jea-Hyun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 120