THE DELAYED CUCKER-SMALE MODEL WITH ATTRACTIVE POWER-LAW POTENTIALS

被引：0
|
作者：
Nie, Long [1 ]
Chen, Zili [1 ]
机构：
[1] Nanchang Univ, Sch Math & Comp Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 05期
关键词：
Cucker-Smale model; time delay; consensus; ASYMPTOTIC FLOCKING; EMERGENT BEHAVIOR; CONTROL-SYSTEMS; SIMPLE PROOF; CONSENSUS; DYNAMICS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the large-time behavior of the delayed Cucker-Smale model with attractive power-law potentials. By making full use of the energy fluctuation and another Lyapunov functional involving the communication function, it is proved that this model achieves consensus, i.e. velocity difference and space diameter converge to zero. More importantly, the precise convergence rate is established.
引用
收藏
页码：1321 / 1332
页数：12
相关论文
共 50 条
  • [21] Extension of the Cucker-Smale Control Law to Space Flight Formations
    Perea, Laura
    Gomez, Gerard
    Elosegui, Pedro
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2009, 32 (02) : 527 - 537
  • [22] SPARSE STABILIZATION AND OPTIMAL CONTROL OF THE CUCKER-SMALE MODEL
    Caponigro, Marco
    Fornasier, Massimo
    Piccoli, Benedetto
    Trelat, Emmanuel
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2013, 3 (04) : 447 - +
  • [23] Flocking Behavior of Cucker-Smale Model with Processing Delay
    Cheng, Jianfei
    Chen, Maoli
    Wang, Xiao
    COMPLEXITY, 2020, 2020
  • [24] Flocking of discrete Cucker-Smale model with packet loss
    Wang, Ru
    Fang, Zheng
    Li, Li
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [25] Hierarchical Cucker-Smale Model Subject to Random Failure
    Dalmao, Federico
    Mordecki, Ernesto
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (07) : 1789 - 1793
  • [26] On the Fractional Variable Order Cucker-Smale Type Model
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    IFAC PAPERSONLINE, 2018, 51 (04): : 693 - 697
  • [27] 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
  • [28] Asymptotic Behavior and Collision Avoidance in the Cucker-Smale Model
    Yin, Xiuxia
    Yue, Dong
    Chen, Zili
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (07) : 3112 - 3119
  • [29] A NUMERICAL STUDY OF THE STOCHASTIC CUCKER-SMALE FLOCKING MODEL
    Ramakrishnan, Subramanian
    Sharma, Balaji R.
    Kumar, Manish
    PROCEEDINGS OF THE ASME 5TH ANNUAL DYNAMIC SYSTEMS AND CONTROL DIVISION CONFERENCE AND JSME 11TH MOTION AND VIBRATION CONFERENCE, DSCC 2012, VOL 3, 2013, : 333 - +
  • [30] Critical coupling strength of the Cucker-Smale model for flocking
    Ha, Seung-Yeal
    Ko, Dongnam
    Zhang, Yinglong
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2017, 27 (06): : 1051 - 1087
12345