Cucker-Smale系统的控制研究
Research on Control of the Cucker-Smale System
DOI: 10.12677/sea.2024.135066, PDF,    科研立项经费支持
作者: 杨学海*：新疆工程学院机电工程学院，新疆 乌鲁木齐；魏鑫彤：新疆工程学院控制工程学院，新疆 乌鲁木齐；胡中明：新疆工程学院能源工程学院，新疆 乌鲁木齐；朱 剑#, 裴 萍：新疆工程学院数理学院，新疆 乌鲁木齐
关键词: Cucker-Smale系统；蜂拥；牵引控制；噪声；时滞；研究进展；Cucker-Smale System； Swarming； Pinning Control； Noise； Time Delay； Research Progress
摘要: Cucker-Smale系统中每个个体与其相邻个体的联系对其他个体产生有限的局部影响，最终实现全部个体状态一致。该系统被广泛应用于生态网络、控制理论、通信工程、模式识别和仿生学等领域。本文根据Cucker-Smale系统的控制研究现状，介绍了近期取得的理论成果，包括Cucker-Smale系统渐进和牵引蜂拥、带有噪声和时滞影响下的Cucker-Smale系统蜂拥、具有leader-follow关系的Cucker-Smale系统蜂拥。进一步详细介绍了牵引蜂拥及具有leader-follow关系的Cucker-Smale系统蜂拥控制的优点，同时给出下一步需要解决的具体问题。
Abstract: In the Cucker-Smale system, the interaction between each individual and its neighboring individuals exerts a limited local influence on other individuals, ultimately leading to consensus among all individuals. This system has been widely applied in various fields such as ecological networks, control theory, communication engineering, pattern recognition, and bionics. In this article, based on the current status of control research on the Cucker-Smale system, we introduce recent theoretical achievements, including asymptotic and pinning swarming of the Cucker-Smale system, swarming of the Cucker-Smale system with noise and time delay effects, and swarming of the Cucker-Smale system with leader-follow relationships. Further detailed introduction was given to the advantages of pinning swarming and the crowding control of the Cucker-Smale system with the leader-follow relationship while providing specific issues to be addressed in the next step.
文章引用：杨学海, 魏鑫彤, 胡中明, 朱剑, 裴萍. Cucker-Smale系统的控制研究[J]. 软件工程与应用, 2024, 13(5): 646-650. https://doi.org/10.12677/sea.2024.135066

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