Convergence of a class of multi-agent systems in probabilistic framework
文献类型：期刊论文
| 作者 | Tang, Gongguo; Guo, Lei
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2007-06-01 |
| 卷号 | 20期号:2页码:173-197 |
| 关键词 | connectivity large deviation local interaction rules multi-agent systems random geometric graph spectral graph theory synchronization Vicsek model |
| ISSN号 | 1009-6124 |
| 英文摘要 | Multi-agent systems arise from diverse fields in natural and artificial systems, and a basic problem is to understand how locally interacting agents lead to collective behaviors (e.g., synchronization) of the overall system. In this paper, we will consider a basic class of multi-agent systems that are described by a simplification of the well-known Vicsek model. This model looks simple, but the rigorous theoretical analysis is quite complicated, because there are strong nonlinear interactions among the agents in the model. In fact, most of the existing results on synchronization need to impose a certain connectivity condition on the global behaviors of the agents' trajectories (or on the closed-loop dynamic neighborhood graphs), which are quite hard to verify in general. In this paper, by introducing a probabilistic framework to this problem, we will provide a complete and rigorous proof for the fact that the overall multi-agent system will synchronize with large probability as long as the number of agents is large enough. The proof is based on a detailed analysis of both the dynamical properties of the nonlinear system evolution and the asymptotic properties of the spectrum of random geometric graphs. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255240400003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4297]  |
| 专题 | 国家数学与交叉科学中心 |
| 通讯作者 | Tang, Gongguo |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Gongguo,Guo, Lei. Convergence of a class of multi-agent systems in probabilistic framework[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2007,20(2):173-197. |
| APA | Tang, Gongguo,&Guo, Lei.(2007).Convergence of a class of multi-agent systems in probabilistic framework.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,20(2),173-197. |
| MLA | Tang, Gongguo,et al."Convergence of a class of multi-agent systems in probabilistic framework".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 20.2(2007):173-197. |
入库方式： OAI收割
来源：数学与系统科学研究院
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