| 谢敏,肖其珍,刘宏亮.具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究[J].南华大学学报(自然科学版),2025,(1):69~76.[XIE Min,XIAO Qizhen,LIU Hongliang.Research on Bipartite Flocking of Cucker-Smale Model on Cooperation-competition Networks with Communication Delays[J].Journal of University of South China(Science and Technology),2025,(1):69~76.] |
| 具通信延迟的合作-竞争Cucker-Smale模型二部集群的研究 |
| Research on Bipartite Flocking of Cucker-Smale Model on Cooperation-competition Networks with Communication Delays |
| 投稿时间：2024-06-21 |
| DOI： |
| 中文关键词: Cucker-Smale模型 二部集群 合作-竞争网络 通信延迟 |
| 英文关键词:Cucker-Smale model bipartite flocking cooperation-competition network communication delay |
| 基金项目:湖南省自然科学基金项目(2024JJ5320;2021JJ30567) |
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| 中文摘要: |
| 本文研究了存在异构通信延迟的Cucker-Smale模型的二部集群控制问题。通过构建一种抵御通信延迟的通用控制输入协议,根据图论的相关性质,将二部集群控制问题等价地转化为无限次超随机矩阵的乘积收敛问题,从而得到具有通信延迟的合作-竞争Cucker-Smale模型二部集群的充分条件。最后,通过数值模拟验证理论结果的有效性。 |
| 英文摘要: |
| This paper examines the bipartite flocking control issue of Cucker-Smale model in presence of communication delays. A general control input scheme defending against communication delays is constructed, then the bipartite flocking problem is equivalently transformed into the product convergence problem of infinite super-stochastic matrices according to the basis of the presented control input scheme and the properties of graph theory, and the sufficient conditions for the bipartite flocking of the cooperation-competiton Cucker-Smale model with communication delays are obtained. Finally, the validity of the theoretical results is verified by numerical simulation. |
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