Numerical analysis of behaviour of the Cucker-Smale type models with fractional operators

被引：13
|
作者：
Girejko, Ewa [1 ]
Mozyrska, Dorota [1 ]
Wyrwas, Malgorzata [1 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, Bialystok, Poland
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 339卷
关键词：
Consensus; Fractional order systems; Cucker-Smale models; POTENTIALS; FLOCKING; SCHOOLS;
D O I：
10.1016/j.cam.2017.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The behaviour of fractional-order multi-agent discrete-time systems is examined by numerical analysis. We consider the Cucker-Smale type models with fractional operators. The asymptotic stability of a class of linear fractional discrete-time systems as a tool providing a consensus in the nonlinear fractional discrete-time systems is investigated. The proposed results are based on linearization method of the considered multi-agent system. Interesting examples illustrate the effectiveness of the derived results. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：111 / 123
页数：13
相关论文
共 50 条
  • [1] Behaviour of the fractional Cucker-Smale type model for a couple of agents
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 746 - 751
  • [2] Emergent dynamics of various Cucker-Smale type models with a fractional derivative
    Ahn, Hyunjin
    Kang, Myeongju
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (10) : 17949 - 17985
  • [3] Cucker-Smale type flocking models on a sphere
    Choi, Sun-Ho
    Kwon, Dohyun
    Seo, Hyowon
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (04)
  • [4] On the Fractional Variable Order Cucker-Smale Type Model
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    IFAC PAPERSONLINE, 2018, 51 (04): : 693 - 697
  • [5] Fractional Cucker-Smale Type Models with the Caputo Variable-Order Operator
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2020, 559 : 163 - 173
  • [6] Hydrodynamic limits for kinetic flocking models of Cucker-Smale type
    Aceves-Sanchez, Pedro
    Bostan, Mihai
    Carrillo, Jose-Antonio
    Degond, Pierre
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (06) : 7883 - 7910
  • [7] ON THE MEAN FIELD LIMIT FOR CUCKER-SMALE MODELS
    Natalini, Roberto
    Paul, Thierry
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (05): : 2873 - 2889
  • [8] STOCHASTIC CUCKER-SMALE MODELS: OLD AND NEW
    Cattiaux, Patrick
    Delebecque, Fanny
    Pedeches, Laure
    ANNALS OF APPLIED PROBABILITY, 2018, 28 (05): : 3239 - 3286
  • [9] EMERGENCE OF ANOMALOUS FLOCKING IN THE FRACTIONAL CUCKER-SMALE MODEL
    Ha, Seung-yeal
    Jung, Jinwook
    Kuchling, Peter
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (09) : 5465 - 5489
  • [10] The fractional variable-order Cucker-Smale type model for a couple of agents
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 105 - 109
12345