一类非对称Cucker-Smale模型的直线型编队

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一类非对称Cucker-Smale模型的直线型编队吴俊滔, 陈茂黎, 王晓国防科技大学文理学院, 长沙 410073 Linear Formation for a Cucker-Smale Model with Asymmetric Influence WU Juntao, CHEN Maoli, WANG XiaoCollege of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China

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摘要针对具有两部分粒子簇数目悬殊较大的多粒子群的聚集与直线编队问题，研究了一类具有非对称影响函数和直线编队驱动力的Cucker-Smale模型的动力学行为.通过构造能力函数，建立微分不等式和原系统的投影系统等方法，获得了此类多粒子群同时形成集群与直线编队的充分条件.研究结果表明，在集群条件下，多粒子群能够形成集群并在预设的任意方向上实现直线编队，数值仿真进一步验证了研究结果的正确性.

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收稿日期: 2019-12-17

PACS:

O193

基金资助:国家自然科学基金（No.11671011）资助项目.

引用本文:

吴俊滔, 陈茂黎, 王晓. 一类非对称Cucker-Smale模型的直线型编队[J]. 应用数学学报, 2020, 43(6): 966-983. WU Juntao, CHEN Maoli, WANG Xiao. Linear Formation for a Cucker-Smale Model with Asymmetric Influence. Acta Mathematicae Applicatae Sinica, 2020, 43(6): 966-983.

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