Connectivity and synchronization of Vicsek model
文献类型：期刊论文
| 作者 | Liu ZhiXin; Lei, Guo; ZhiXin Liu ; Lei Guo
|
| 刊名 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
 |
| 出版日期 | 2008-07-01 |
| 卷号 | 51期号:7页码:848-858 |
| 关键词 | Vicsek model synchronization stochastic matrix connectivity neighbor graph |
| ISSN号 | 1009-2757 |
| DOI | 10.1007/s11432-008-0077-2 |
| 英文摘要 | The collective behavior of multi-agent systems is an important studying point for the investigation of complex systems, and a basic model of multi-agent systems is the so called Vicsek model, which possesses some key features of complex systems, such as dynamic behavior, local interaction, changing neighborhood, etc. This model looks simple, but the nonlinearly coupled relationship makes the theoretical analysis quite complicated. Jadbabaie et al. analyzed the linearized heading equations in this model and showed that all agents will synchronize eventually, provided that the neighbor graphs associated with the agents' positions satisfy a certain connectivity condition. Much subsequent research effort has been devoted to the analysis of the Vicsek model since the publication of Jadbabaie's work. However, an unresolved key problem is when such a connectivity is satisfied. This paper given a sufficient condition to guarantee the synchronization of the Vicsek model, which is imposed on the model parameters only. Moreover, some counterexamples are given to show that the connectivity of the neighbor graphs is not sufficient for synchronization of the Vicsek model if the initial headings are allowed to be in [0, 2 pi), which reveals some fundamental differences between the Vicsek model and its linearized version. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000256529900002 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6994]  |
| 专题 | 系统科学研究所 国家数学与交叉科学中心 |
| 通讯作者 | Lei, Guo |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu ZhiXin,Lei, Guo,ZhiXin Liu,et al. Connectivity and synchronization of Vicsek model[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2008,51(7):848-858. |
| APA | Liu ZhiXin,Lei, Guo,ZhiXin Liu,&Lei Guo.(2008).Connectivity and synchronization of Vicsek model.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,51(7),848-858. |
| MLA | Liu ZhiXin,et al."Connectivity and synchronization of Vicsek model".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 51.7(2008):848-858. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。