期刊论文

Asymptotic Flocking of Asymmetric Cucker-Smale Model

中文

衡阳师范学院学报

1673-0313

2022

43

3

144-148

10.3969/j.issn.1673-0313.2022.03.020

20A425:湖南省教育厅重点项目 2020JJ6003:湖南省自然科学基金 2021JJ30567:湖南省自然科学基金

本校为第一机构

对一类具有非对称关联函数的Cucker-Smale模型的渐近集群进行了研究,得到了此类非均匀分布的多粒子群形成渐近集群的充分条件.基于Lyapunov稳定性理论构造能量函数,证明了系统最大位移差的有界性,然后结合Barbalǎt引理,证明了当时间趋于无穷时速度将会达到一致.最后通过数值仿真验证了理论分析的有效性.

The asymptotic flocking of a Cucker-Smale model with asymmetric communication function is studied in this paper.Based on the Lyapunov stability theorem,a sufficient condition is constructed to guarantee that the boundedness of the maximum distance among all agents,which is proved by constructing an energy function.Moreover,the different velocities of all agents were verified to tend to the same value via Barbalat's Lemma as time approach to infinity.Finally,the validi...