KMS Of Academy of mathematics and systems sciences, CAS
flockingwithgenerallocalinteractionandlargepopulation | |
Chen Ge; Liu Zhixin | |
2019-01-01 | |
发表期刊 | journalofsystemsscienceandcomplexity |
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. |
收录类别 | CSCD |
语种 | 英语 |
CSCD记录号 | CSCD:6663746 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51278 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Chen Ge,Liu Zhixin. flockingwithgenerallocalinteractionandlargepopulation[J]. journalofsystemsscienceandcomplexity,2019,32(6):1498-1525. |
APA | Chen Ge,&Liu Zhixin.(2019).flockingwithgenerallocalinteractionandlargepopulation.journalofsystemsscienceandcomplexity,32(6),1498-1525. |
MLA | Chen Ge,et al."flockingwithgenerallocalinteractionandlargepopulation".journalofsystemsscienceandcomplexity 32.6(2019):1498-1525. |
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