convergenceofaclassofmultiagentsystemsinprobabilisticframework
文献类型：期刊论文
| 作者 | Gongguo Tang; Lei Guo
|
| 刊名 | journalofsystemsscienceandcomplexity
 |
| 出版日期 | 2007 |
| 卷号 | 020期号:002页码:173 |
| 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. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/42043]  |
| 专题 | 国家数学与交叉科学中心 |
| 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 | Gongguo Tang,Lei Guo. convergenceofaclassofmultiagentsystemsinprobabilisticframework[J]. journalofsystemsscienceandcomplexity,2007,020(002):173. |
| APA | Gongguo Tang,&Lei Guo.(2007).convergenceofaclassofmultiagentsystemsinprobabilisticframework.journalofsystemsscienceandcomplexity,020(002),173. |
| MLA | Gongguo Tang,et al."convergenceofaclassofmultiagentsystemsinprobabilisticframework".journalofsystemsscienceandcomplexity 020.002(2007):173. |
入库方式： OAI收割
来源：数学与系统科学研究院
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