Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise

doi:10.1109/TAC.2019.2956902

CSpace > 系统科学研究所

	Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise
	Chen, Ge1,2 ; Su, Wei 3; Ding, Songyuan 4,5; Hong, Yiguang2
	2020-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	65 期号:8 页码:3409-3424
摘要	The Hegselmann-Krause (HK) model is a well-known opinion dynamics, attracting a significant amount of interest from a number of fields. However, the heterogeneous HK model is difficult to analyze-even the most basic property of convergence is still open to prove. For the first time, this article takes into consideration heterogeneous HK models with environment or communication noise. Under environment noise, it has been revealed that the heterogeneous HK model with or without global information has a phase transition for the upper limit of the maximum opinion difference and has a critical noise amplitude depending on the minimal confidence threshold for quasi-synchronization. In addition, the convergence time to quasi-synchronization is bounded by a negative exponential distribution. The heterogeneous HK model with global information and communication noise is also analyzed. Finally, for the basic HK model with communication noise, we show that the heterogeneous case exhibits a different behavior regarding quasi-synchronization from the homogenous case. Interestingly, raising the confidence thresholds of constituent agents may break quasi-synchronization. Our results reveal that the heterogeneity of individuals is harmful to synchronization, which may be the reason why the synchronization of opinions is hard to reach in reality, even within that of a small group.
关键词	Analytical models Synchronization Convergence STEM Chemistry Exponential distribution Heterogeneous Hegselmann-Krause (HK) model multiagent systems noise opinion dynamics synchronization
DOI	10.1109/TAC.2019.2956902
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[91427304] ; National Natural Science Foundation of China[61733018] ; National Natural Science Foundation of China[61803024] ; National Natural Science Foundation of China[61573344] ; National Key Basic Research Program of China (973 program)[2016YFB0800404] ; 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:000554891800013
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/51931
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.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China 4.Xiamen Univ, Collaborat Innovat Ctr Chem Energy Mat, Xiamen 361005, Peoples R China 5.Xiamen Univ, Coll Chem & Chem Engn, Dept Chem, Xiamen 361005, Peoples R China 6.Chinese Acad Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ge,Su, Wei,Ding, Songyuan,et al. Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2020,65(8):3409-3424.
APA	Chen, Ge,Su, Wei,Ding, Songyuan,&Hong, Yiguang.(2020).Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,65(8),3409-3424.
MLA	Chen, Ge,et al."Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 65.8(2020):3409-3424.