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DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS
Meng, Deyuan1,2; Meng, Ziyang3; Hong, Yiguang4
2019
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume57Issue:1Pages:718-742
AbstractFor 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.
Keyworddisagreement analysis opinion dynamics antagonistic interaction leader-follower hierarchy switching signed digraph
DOI10.1137/17M1130344
Language英语
Funding ProjectNational 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 AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000460129700028
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34162
Collection系统科学研究所
Corresponding AuthorMeng, Deyuan
Affiliation1.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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