KMS Of Academy of mathematics and systems sciences, CAS
| Heterogeneous Hegselmann-Krause Dynamics With Environment and Communication Noise | |
Chen, Ge1,2 ; Su, Wei3; Ding, Songyuan4,5; Hong, Yiguang2
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| 2020-08-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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| ISSN | 0018-9286 |
| Volume | 65Issue:8Pages:3409-3424 |
| Abstract | 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. |
| Keyword | 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 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000554891800013 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51931 |
| Collection | 系统科学研究所 |
| Corresponding Author | Chen, Ge |
| Affiliation | 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 |
| Recommended Citation 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. |
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