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
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
  • [31] Finite-dimensional control of linear discrete-time fractional-order systems
    Alessandretti, Andrea
    Pequito, Sergio
    Pappas, George J.
    Aguiar, A. Pedro
    AUTOMATICA, 2020, 115
  • [32] On Chaos in the Fractional-Order Discrete-Time Unified System and Its Control Synchronization
    Khennaoui, Amina-Aicha
    Ouannas, Adel
    Bendoukha, Samir
    Wang, Xiong
    Viet-Thanh Pham
    ENTROPY, 2018, 20 (07)
  • [33] Stability and Bifurcation Analysis in a Discrete-Time SIR Epidemic Model with Fractional-Order
    El-Shahed, Moustafa
    Abdelstar, Ibrahim M. E.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (3-4) : 339 - 350
  • [34] Fractional-Order Discrete-Time SIR Epidemic Model with Vaccination: Chaos and Complexity
    He, Zai-Yin
    Abbes, Abderrahmane
    Jahanshahi, Hadi
    Alotaibi, Naif D.
    Wang, Ye
    MATHEMATICS, 2022, 10 (02)
  • [35] Effectivity of the Vaccination Strategy for a Fractional-Order Discrete-Time SIC Epidemic Model
    Coll, Carmen
    Ginestar, Damian
    Herrero, Alicia
    Sanchez, Elena
    MATHEMATICAL MODELLING AND ANALYSIS, 2024, 29 (03) : 525 - 545
  • [36] Synchronization for fractional-order discrete-time neural networks with time delays
    Gu, Yajuan
    Wang, Hu
    Yu, Yongguang
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 372
  • [37] Controllability and observability of linear discrete-time fractional-order systems
    Guermah, Said
    Djennoune, Said
    Bettayed, Maamar
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2008, 18 (02) : 213 - 222
  • [38] Stability of fractional-order periodic discrete-time linear systems
    Tehrani, H. A.
    Esmaeili, J.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (01) : 271 - 281
  • [39] On fractional-order discrete-time systems: Chaos, stabilization and synchronization
    Khennaoui, Amina-Aicha
    Ouannas, Adel
    Bendoukha, Samir
    Grassi, Giuseppe
    Lozi, Rene Pierre
    Viet-Thanh Pham
    CHAOS SOLITONS & FRACTALS, 2019, 119 : 150 - 162
  • [40] Extreme Multistability of a Fractional-Order Discrete-Time Neural Network
    Almatroud, A. Othman
    FRACTAL AND FRACTIONAL, 2021, 5 (04)