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Journal of Optimization Theory and Applications
Article . 2025 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2024
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Opinion Dynamics Under Common Influencer Assumption or Leadership Control

Opinion dynamics under common influencer assumption or leadership control
Authors: Cicolani, Chiara; Ouahab, Badis; Pignotti, Cristina;

Opinion Dynamics Under Common Influencer Assumption or Leadership Control

Abstract

Abstract We study Hegselmann–Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an assumption does not hold but leaders with independent opinion dynamics are present. By using careful estimates on the system’s trajectories, we are able to prove asymptotic convergence to consensus estimates. Some numerical tests illustrate the theoretical results.

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Keywords

34D05, 34K20, 91D10, Stability theory of functional-differential equations, time delays, Optimization and Control (math.OC), Convergence to consensus; Leadership control; Opinion dynamics; Time delays, Models of societies, social and urban evolution, convergence to consensus, FOS: Mathematics, opinion dynamics, leadership control, Asymptotic properties of solutions to ordinary differential equations, Mathematics - Optimization and Control

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid