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Social Power Dynamics Over Switching and Stochastic Influence Networks
Chen, Ge1,2; Duan, Xiaoming3,4; Friedkin, Noah E.4,5; Bullo, Francesco3,4
2019-02-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume64Issue:2Pages:582-597
AbstractThe DeGroot-Friedkin (DF) model is a recently proposed dynamical description of the evolution of individuals' self-appraisal and social power in a social influence network. Most studies of this system and its variations have so far focused on models with a time-invariant influence network. This paper proposes novel models and analysis results for DF models over switching influence networks, and with or without environment noise. First, for a DF model over switching influence networks, we show that the trajectory of the social power converges to a ball centered at the equilibrium reached by the original DF model. For the DF model with memory on random interactions, we show that the social power converges to the equilibrium of the original DF model almost surely. Additionally, this paper studies a DF model that contains random interactions and environment noise, and has memory on the self-appraisal. We show that such a system converges to an equilibrium or a set almost surely. Finally, as a by-product, we provide novel results on the convergence rates of the original DF model and convergence results for a continuous-time DF model.
KeywordDeGroot-Friedkin (DF) model opinion dynamics social networks social power evolution stochastic approximation
DOI10.1109/TAC.2018.2822182
Language英语
Funding ProjectU.S. Army Research Laboratory ; U.S. Army Research Office[W911NF-15-1-0577] ; National Natural Science Foundation of China[91427304] ; National Natural Science Foundation of China[61673373] ; National Natural Science Foundation of China[11688101] ; National Key Basic Research Program of China (973 program)[2014CB845301/2/3] ; Leading research projects of Chinese Academy of Sciences[QYZDJ-SSW-JSC003]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000457375100010
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32460
Collection系统科学研究所
Affiliation1.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Key Lab Syst & Control LSC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA
4.Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat, Santa Barbara, CA 93106 USA
5.Univ Calif Santa Barbara, Dept Sociol, Santa Barbara, CA 93106 USA
Recommended Citation
GB/T 7714
Chen, Ge,Duan, Xiaoming,Friedkin, Noah E.,et al. Social Power Dynamics Over Switching and Stochastic Influence Networks[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2019,64(2):582-597.
APA Chen, Ge,Duan, Xiaoming,Friedkin, Noah E.,&Bullo, Francesco.(2019).Social Power Dynamics Over Switching and Stochastic Influence Networks.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,64(2),582-597.
MLA Chen, Ge,et al."Social Power Dynamics Over Switching and Stochastic Influence Networks".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 64.2(2019):582-597.
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