Flocking with General Local Interaction and Large Population

doi:10.1007/s11424-019-7407-x

	Flocking with General Local Interaction and Large Population
	Chen, Ge 1,2; Liu, Zhixin 1,2
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	2019-12-01
卷号	32 期号:6 页码:1498-1525
关键词	Consensus Cucker-Smale model flocking model multi-agent systems random geometric graph
ISSN号	1009-6124
DOI	10.1007/s11424-019-7407-x
英文摘要	This paper studies a flocking model in which the interaction between agents is described by a general local nonlinear function depending on the distance between agents. The existing analysis provided sufficient conditions for flocking under an assumption imposed on the system's closed-loop states; however this assumption is hard to verify. To avoid this kind of assumption the authors introduce some new methods including large deviations theory and estimation of spectral radius of random geometric graphs. For uniformly and independently distributed initial states, the authors establish sufficient conditions and necessary conditions for flocking with large population. The results reveal that under some conditions, the critical interaction radius for flocking is almost the same as the critical radius for connectivity of the initial neighbor graph.
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[91634203] ; National Natural Science Foundation of China[91427304] ; National Natural Science Foundation of China[61673373] ; National Key Basic Research Program of China (973 Program)[2016YFB0800404]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000502503600002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50427]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Ge
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ge,Liu, Zhixin. Flocking with General Local Interaction and Large Population[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(6):1498-1525.
APA	Chen, Ge,&Liu, Zhixin.(2019).Flocking with General Local Interaction and Large Population.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(6),1498-1525.
MLA	Chen, Ge,et al."Flocking with General Local Interaction and Large Population".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.6(2019):1498-1525.