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Flocking with General Local Interaction and Large Population

文献类型：期刊论文

作者Chen, Ge1,2; Liu, Zhixin1,2
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2019-12-01
卷号32期号:6页码:1498-1525
ISSN号1009-6124
关键词Consensus Cucker-Smale model flocking model multi-agent systems random geometric graph
DOI10.1007/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
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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