Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space

doi:10.1109/TAC.2018.2885090

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	Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space
	Su, Wei 2,3; Guo, Jin 2,3; Chen, Xianzhong 2,3; Chen, Ge1,4
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2019-09-01
卷号	64 期号:9 页码:3804-3808
关键词	Full space Hegselmann-Krause (HK) dynamics noise-induced synchronization self-organizing systems
ISSN号	0018-9286
DOI	10.1109/TAC.2018.2885090
英文摘要	The Hegselmann-Krause (HK) model is a typical self-organizing system with local rule dynamics. In spite of its widespread use and numerous extensions, the underlying theory of its synchronization induced by noise still needs to be developed. In its original formulation, as a model first proposed to address opinion dynamics, its state-space was assumed to be bounded, and the theoretical analysis of noise-induced synchronization for this particular situation has been well established. However, when system states are allowed to exist in an unbounded space, mathematical difficulties arise, whose theoretical analysis becomes non-trivial and is as such still lacking. In this paper, we completely resolve this problem by exploring the topological properties of HK dynamics and employing the theory of independent stopping time. The associated result in full state-space provides a solid interpretation of the randomness-induced synchronization of self-organizing systems.
资助项目	National Key Basic Research Program of China (973 program)[2016YFB0800404] ; National Natural Science Foundation of China[61803024] ; National Natural Science Foundation of China[61671054] ; National Natural Science Foundation of China[61773054] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[91427304] ; Natural Science Foundation of Beijing[4182038] ; Fundamental Research Funds for the Central Universities[FRF-TP-17-087A1]
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000484210500024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/33321]
专题	系统科学研究所
通讯作者	Chen, Ge
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing, Peoples R China 3.Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Su, Wei,Guo, Jin,Chen, Xianzhong,et al. Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2019,64(9):3804-3808.
APA	Su, Wei,Guo, Jin,Chen, Xianzhong,&Chen, Ge.(2019).Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,64(9),3804-3808.
MLA	Su, Wei,et al."Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 64.9(2019):3804-3808.