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

doi:10.1109/TAC.2018.2885090

CSpace > 系统科学研究所

	Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space
	Su, Wei 1,2; Guo, Jin 1,2; Chen, Xianzhong 1,2; Chen, Ge3,4
	2019-09-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	64 期号:9 页码:3804-3808
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.
关键词	Full space Hegselmann-Krause (HK) dynamics noise-induced synchronization self-organizing systems
DOI	10.1109/TAC.2018.2885090
语种	英语
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
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000484210500024
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	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.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing, Peoples R China 2.Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, 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.