KMS Of Academy of mathematics and systems sciences, CAS
Flocking with General Local Interaction and Large Population | |
Chen, Ge1,2; Liu, Zhixin1,2 | |
2019-12-01 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 32期号:6页码:1498-1525 |
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. |
关键词 | Consensus Cucker-Smale model flocking model multi-agent systems random geometric graph |
DOI | 10.1007/s11424-019-7407-x |
收录类别 | SCI |
语种 | 英语 |
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 |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000502503600002 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/50428 |
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, 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 |
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Chen, Ge]的文章 |
[Liu, Zhixin]的文章 |
百度学术 |
百度学术中相似的文章 |
[Chen, Ge]的文章 |
[Liu, Zhixin]的文章 |
必应学术 |
必应学术中相似的文章 |
[Chen, Ge]的文章 |
[Liu, Zhixin]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论