Flocking of a Cucker–Smale Type Model with Compactly Supported Interaction Functions
作者机构：College of ScienceChina Agricultural UniversityBeijing 100083P.R.China
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2024年第40卷第9期
页 面：2285-2296页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：The first author is supported by NSFC(Grant No.12001530)
主 题：Cucker-Smale model local interaction flocking stochastic matrix neighbor graph
摘 要：How to analyze flocking behaviors of a multi-agent system with local interaction functions is a challenging problem in *** and Tadmor in 2011 also stressed the significance to assume that the interaction function is rapidly decaying or cut-off at a finite distance(*** and Tadmor in ***.2011).In this paper,we study the flocking behavior of a Cucker–Smale type model with compactly supported interaction *** properties of a connected stochastic matrix,together with an elaborate analysis on perturbations of a linearized system,we obtain a sufficient condition imposed only on model parameters and initial data to guarantee ***,it is shown that the system achieves flocking at an exponential rate.
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