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DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS

文献类型：期刊论文

作者Meng, Deyuan2,3; Meng, Ziyang1; Hong, Yiguang4
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2019
卷号57期号:1页码:718-742
关键词disagreement analysis opinion dynamics antagonistic interaction leader-follower hierarchy switching signed digraph
ISSN号0363-0129
DOI10.1137/17M1130344
英文摘要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.
资助项目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研究方向Automation & Control Systems ; Mathematics
语种英语
WOS记录号WOS:000460129700028
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34161]  
专题系统科学研究所
通讯作者Meng, Deyuan
作者单位1.Tsinghua Univ, Dept Precis Instrument, State Key Lab Precis Measurement Technol & Instru, Beijing 100084, Peoples R China
2.Beihang Univ BUAA, Res Div 7, Beijing 100191, Peoples R China
3.Beihang Univ BUAA, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
4.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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