Flocking Effects of the Stochastic Cucker-Smale System with Noise  

作　　者：HAN Ning GE Bin LI Lin 

机构地区：[1]School of Mathematical Sciences,Harbin Engineering University,Harbin 150001,China

出　　处：《Journal of Systems Science & Complexity》2024年第5期1978-1994,共17页系统科学与复杂性学报（英文版）

基　　金：supported by the Natural Science Foundation of Heilongjiang Province of China under Grant No.LH2023A007;the National Natural Science Foundation of China under Grant No.11201095;the Fundamental Research Funds for the Central Universities under Grant Nos.3072022TS2402 and 3072024GH2402;the Postdoctoral Research Startup Foundation of Heilongjiang under Grant No.LBH-Q14044;the Science Research Funds for Overseas Returned Chinese Scholars of Heilongjiang Province under Grant No.LC201502.

摘　　要：In this paper,the flocking behavior of a Cucker-Smale model with a leader and noise is studied in a finite time.The authors present a Cucker-Smale system with two nonlinear controls for a complex network with stochastic synchronization in probability.Based on the finite-time stability theory of stochastic differential equations,the sufficient conditions for the flocking of stochastic systems in a finite time are obtained by using the Lyapunov function method.Finally,the numerical simulation of the particle system is carried out for the leader and noise,and the correctness of the results is verified.

关 键 词：Cucker-Smale model flocking behavior LEADER noise 

分 类 号：O211.6[理学—概率论与数理统计]