CSpace  > 国家数学与交叉科学中心
convergenceofaclassofmultiagentsystemsinprobabilisticframework
Gongguo Tang; Lei Guo
2007
Source Publicationjournalofsystemsscienceandcomplexity
ISSN1009-6124
Volume020Issue:002Pages:173
AbstractMulti-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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/42044
Collection国家数学与交叉科学中心
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Gongguo Tang]'s Articles
[Lei Guo]'s Articles
Baidu academic
Similar articles in Baidu academic
[Gongguo Tang]'s Articles
[Lei Guo]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Gongguo Tang]'s Articles
[Lei Guo]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.