Convergence of a class of multi-agent systems in probabilistic framework

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	Convergence of a class of multi-agent systems in probabilistic framework
	Tang, Gongguo; Guo, Lei
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	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
出版者	SPRINGER
WOS记录号	WOS:000255240400003
内容类型	期刊论文
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.