FINITE-TIME FLOCKING OF CUCKER-SMALE MODEL WITH UNKNOWN INTRINSIC DYNAMICS

被引：9
|
作者：
Ru, Lining [1 ,2 ]
LI, Xiaoyu [3 ]
Liu, Yicheng [1 ]
Wang, Xiao [1 ]
机构：
[1] Natl Univ Def Technol, Dept Math, Changsha 410073, Peoples R China
[2] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Peoples R China
[3] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210003, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年
基金：
中国国家自然科学基金;
关键词：
  Cucker-Smale flocking; finite time; H?lder continuous intrinsic dynamics; HIERARCHICAL LEADERSHIP; EMERGENT BEHAVIOR; ROOTED LEADERSHIP; CONSENSUS; VELOCITY; COORDINATION; STABILITY; NETWORKS;
D O I：
10.3934/dcdsb.2022237
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the finite-time flocking problem for a modified Cucker-Smale model with unknown Holder continuous intrinsic dy-namics. Firstly, we use the energy method to show conditional finite-time flocking would occur under some conditions depending on initial data, expo-nent beta and Holder constant L. Then we give an example consisting of two agents to show that for any beta > 0 or large enough L, there is no unconditional finite-time flocking occurrence. Finally, we present some numerical simulations to show our theoretical results are valid.
引用
收藏
页码：3680 / 3696
页数：17
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