Consensus and polarization in Altafini's model with bidirectional time-varying network topologies

A Proskurnikov, A Matveev… - 53rd IEEE Conference on …, 2014 - ieeexplore.ieee.org
The mechanism of reaching consensus in multi-agent systems has been exhaustively
studied in recent years, motivated by numerous applications in engineering and science …

Opinion dynamics using Altafini's model with a time-varying directed graph

AV Proskurnikov, M Cao - 2014 IEEE International Symposium …, 2014 - ieeexplore.ieee.org
Distributed control policies (or protocols) for multi-agent consensus have been extensively
studied in recent years, motivated by numerous applications in engineering and science …

Opinion dynamics in social networks with hostile camps: Consensus vs. polarization

AV Proskurnikov, AS Matveev… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Most of the distributed protocols for multi-agent consensus assume that the agents are
mutually cooperative and “trustful,” and so the couplings among the agents bring the values …

Criteria for asymptotic clustering of opinion dynamics towards bimodal consensus

D Angeli, S Manfredi - Automatica, 2019 - Elsevier
By using the recently introduced framework of unilateral agents interactions, we provide tight
graph-theoretical conditions ensuring asymptotic convergence of opinions in finite networks …

Multi-agreements in social networks based on LaSalle invariance principle and positive definiteness

TC Lee, Y Zhang, I Mareels - Automatica, 2024 - Elsevier
The paper considers multi-agreements that may exist in social networks that do not have
connectivity across the network, and where each agent can decide on how an opinion from …

Consensus for clusters of agents with cooperative and antagonistic relationships

G De Pasquale, ME Valcher - Automatica, 2022 - Elsevier
In this paper we address the consensus problem in the context of networked agents whose
communication graph splits into clusters: interactions between agents in the same cluster …

On Krause's multi-agent consensus model with state-dependent connectivity

VD Blondel, JM Hendrickx… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
We study a model of opinion dynamics introduced by Krause: each agent has an opinion
represented by a real number, and updates its opinion by averaging all agent opinions that …

Novel multidimensional models of opinion dynamics in social networks

SE Parsegov, AV Proskurnikov… - … on Automatic Control, 2016 - ieeexplore.ieee.org
Unlike many complex networks studied in the literature, social networks rarely exhibit
unanimous behavior, or consensus. This requires a development of mathematical models …

Bipartite consensus of opinion dynamics through delivering credible information

Y Zou, K Xia - IEEE Transactions on Control of Network …, 2020 - ieeexplore.ieee.org
The consensus behavior of a new opinion dynamics with cooperative-antagonistic relation is
studied in this article, which considers each agent delivering credible information to his/her …

Modulus consensus in discrete-time signed networks and properties of special recurrent inequalities

AV Proskurnikov, M Cao - 2017 IEEE 56th Annual Conference …, 2017 - ieeexplore.ieee.org
Recently the dynamics of signed networks, where the ties among the agents can be both
positive (attractive) or negative (repulsive) have attracted substantial attention of the …