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Flocking with General Local Interaction and Large Population
Chen, Ge1,2; Liu, Zhixin1,2
2019-12-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume32Issue:6Pages:1498-1525
AbstractThis 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.
KeywordConsensus Cucker-Smale model flocking model multi-agent systems random geometric graph
DOI10.1007/s11424-019-7407-x
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000502503600002
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50428
Collection中国科学院数学与系统科学研究院
Corresponding AuthorChen, Ge
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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