| 李鑫悦,肖其珍,王琳,刘宏亮.一类改进的Cucker-Smale模型固定时间免碰撞集群行为的研究[J].南华大学学报(自然科学版),2023,(4):90~96.[LI Xinyue,XIAO Qizhen,WANG Lin,LIU Hongliang.Research on Collision Avoiding Fixed-time Flocking of Modified Cucker-Smale Systems[J].Journal of University of South China(Science and Technology),2023,(4):90~96.] |
| 一类改进的Cucker-Smale模型固定时间免碰撞集群行为的研究 |
| Research on Collision Avoiding Fixed-time Flocking of Modified Cucker-Smale Systems |
| 投稿时间：2023-03-13 |
| DOI： |
| 中文关键词: Cucker-Smale模型 固定时间集群 免碰撞 控制器 |
| 英文关键词:Cucker-Smale system fixed-time flocking collision avoiding controller |
| 基金项目:湖南省自然科学基金面上项目(2021JJ30567) |
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| 中文摘要: |
| 对一类改进的Cucker-Smale模型进行研究,通过设置新型的连续、非Lipschitz控制器和基于构建Lyapunov函数,得到改进的Cucker-Smale系统达到固定时间集群的充分条件。利用不等式和图论相关理论,得到集群发生过程中免碰撞的充分条件。最后,通过数值模拟验证结果的有效性。 |
| 英文摘要: |
| In this paper, the problems of modified Cucker-Smale system are studied.By designing new continuous non-Lipschitz controllers and based on the construction of Lyapunov function, the sufficient conditions for the fixed time flocking of the modified Cucker-Sale system are obtained. The sufficient conditions of collision avoiding fixed-time flocking are obtained by using the inequality and the related theory of graph. Finally, the validity of the results is verified by numerical simulation. |
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