KMS Of Academy of mathematics and systems sciences, CAS
| DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS | |
Meng, Deyuan1,2; Meng, Ziyang3; Hong, Yiguang4
| |
| 2019 | |
| Source Publication | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| ISSN | 0363-0129 |
| Volume | 57Issue:1Pages:718-742 |
| Abstract | For opinion dynamics in social networks with antagonisms, distributed processes lead to challenging difficulties to characterize them, especially under changing network topologies. There may appear polarization, or neutralization, or fluctuation due to the simultaneous existence of cooperative and antagonistic interactions. In this paper, a leader-follower hierarchical framework is first established for opinion dynamics under the representation of signed digraphs and then a class of disagreement behaviors is identified by introducing a new rule to distinguish leaders and followers. It is shown that for opinion dynamics under switching signed digraphs, the agents in the leader layer always converge, whereas the agents in the follower layer generally may not converge but fluctuate within a symmetric interval spanned by the converged opinions of all leaders. Furthermore, the convergence of leaders is divided into clusters, and for each cluster, the opinions of leaders are ensured to polarize or neutralize, which are correspondingly tied to the structural balance or unbalance of the associated switching signed digraph with the cluster. Illustrative examples are presented to demonstrate the disagreement behaviors observed for opinion dynamics. |
| Keyword | disagreement analysis opinion dynamics antagonistic interaction leader-follower hierarchy switching signed digraph |
| DOI | 10.1137/17M1130344 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61873013] ; National Natural Science Foundation of China[61833009] ; National Natural Science Foundation of China[61873140] ; National Natural Science Foundation of China[61733018] ; National Natural Science Foundation of China[61573344] ; National Natural Science Foundation of China[61473010] ; Ministry of Education[6141A02033316] ; Fundamental Research Funds for the Central Universities |
| WOS Research Area | Automation & Control Systems ; Mathematics |
| WOS Subject | Automation & Control Systems ; Mathematics, Applied |
| WOS ID | WOS:000460129700028 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34162 |
| Collection | 系统科学研究所 |
| Corresponding Author | Meng, Deyuan |
| Affiliation | 1.Beihang Univ BUAA, Res Div 7, Beijing 100191, Peoples R China 2.Beihang Univ BUAA, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China 3.Tsinghua Univ, Dept Precis Instrument, State Key Lab Precis Measurement Technol & Instru, Beijing 100084, Peoples R China 4.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Meng, Deyuan,Meng, Ziyang,Hong, Yiguang. DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2019,57(1):718-742. |
| APA | Meng, Deyuan,Meng, Ziyang,&Hong, Yiguang.(2019).DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,57(1),718-742. |
| MLA | Meng, Deyuan,et al."DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 57.1(2019):718-742. |
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