报告题目：Some recent results for Cucker-Smale flocking model
报 告 人：董久刚 教授 大连理工大学
报告摘要: In this talk, we will focus on the celebrated Cucker-Smale model for flocking behavior. We first discuss the effect of interaction topologies on the dynamical behavior of Cucker-Smale model. Some flocking results on fixed and switching digraphs are reviewed. We then deal with the Cucker-Smale model with nonlinear inherent dynamics. The inherent dynamics function is assumed to satisfy the Lipschitz condition. It is shown that the convergence of flocking could occur with a sufficiently small Lipschitz constant. We finally consider the impact of time delays on the Cucker-Smale model under hierarchical leadership. Delay-dependent (but initial-states independent) frameworks are established for the convergence of flocking. Our results reveal the efficiency of hierarchical leadership, which has been found in physics and biology.
简介：大连理工大学数学科学学院 教授，博士生导师。2006年本科毕业于兰州大学数学基地班，2011年博士毕业于中国科学技术大学与香港城市大学（联合培养），导师为肖体俊教授和Felipe Cucker教授。主要从事复杂系统动力学行为分析与控制的研究，重点关注Cucker-Smale集群模型和Kuramoto同步模型的相关数学问题。在M3AS, SIAM JAM, SIAM JADS, SIAM JCO, IEEE TAC, Automatica等期刊上发表论文40余篇，谷歌学术引用1400余次。现担任国际期刊Internat. J. Robust Nonlinear Control编委。
报告时间：2024年7月15日 9:00-10:00
报告地点：腾讯会议 696-381-007
主办单位：数学与统计学院
