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Noise-Induced Synchronization of Hegselmann-Krause Dynamics in Full Space
Su, Wei1,2; Guo, Jin1,2; Chen, Xianzhong1,2; Chen, Ge3,4
2019-09-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume64Issue:9Pages:3804-3808
AbstractThe 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.
KeywordFull space Hegselmann-Krause (HK) dynamics noise-induced synchronization self-organizing systems
DOI10.1109/TAC.2018.2885090
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000484210500024
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33321
Collection系统科学研究所
Corresponding AuthorChen, Ge
Affiliation1.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
Recommended Citation
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.
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