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

文献类型：期刊论文

作者Su, Wei2,3; Guo, Jin2,3; Chen, Xianzhong2,3; Chen, Ge1,4
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期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
DOI10.1109/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
WOS记录号WOS:000484210500024
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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