DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS

doi:10.1137/17M1130344

CSpace > 系统科学研究所

	DISAGREEMENT OF HIERARCHICAL OPINION DYNAMICS WITH CHANGING ANTAGONISMS
	Meng, Deyuan 1,2; Meng, Ziyang 3; Hong, Yiguang4
	2019
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	57 期号:1 页码:718-742
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.
关键词	disagreement analysis opinion dynamics antagonistic interaction leader-follower hierarchy switching signed digraph
DOI	10.1137/17M1130344
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000460129700028
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34162
专题	系统科学研究所
通讯作者	Meng, Deyuan
作者单位	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
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.