convergenceofaclassofmultiagentsystemsinprobabilisticframework

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	convergenceofaclassofmultiagentsystemsinprobabilisticframework
	Gongguo Tang; Lei Guo
	2007
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	020 期号:002 页码:173
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/42044
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.