Recent advances in the modelling and analysis of opinion dynamics on influence networks

BDO Anderson, M Ye - International Journal of Automation and Computing, 2019 - Springer
A fundamental aspect of society is the exchange and discussion of opinions between
individuals, occurring in situations as varied as company boardrooms, elementary school …

Dynamics of opinion formation, social power evolution, and naïve learning in social networks

Y Tian, L Wang - Annual Reviews in Control, 2023 - Elsevier
The past few decades have witnessed a prevalence of applying dynamical models to the
study of social networks. This paper reviews recent advances in the investigation of social …

Toward a spectral theory of cellular sheaves

J Hansen, R Ghrist - Journal of Applied and Computational Topology, 2019 - Springer
This paper outlines a program in what one might call spectral sheaf theory—an extension of
spectral graph theory to cellular sheaves. By lifting the combinatorial graph Laplacian to the …

Opinion dynamics on discourse sheaves

J Hansen, R Ghrist - SIAM Journal on Applied Mathematics, 2021 - SIAM
We introduce a novel class of network structures called discourse sheaves, together with
generalizations of graph Laplacians and diffusion dynamics, in order to model dynamics on …

Achieving consensus in multilateral international negotiations: The case study of the 2015 Paris Agreement on climate change

C Bernardo, L Wang, F Vasca, Y Hong, G Shi… - Science …, 2021 - science.org
The purpose of this paper is to propose a dynamical model describing the achievement of
the 2015 Paris Agreement on climate change. To represent the complex, decade-long …

Consensus on matrix-weighted switching networks

L Pan, H Shao, M Mesbahi, Y Xi… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article examines the consensus problem on matrix-weighted undirected switching
networks. First, we introduce the matrix-weighted integral network for analyzing such …

Consensus of matrix-weighted hybrid multiagent systems

S Miao, H Su - IEEE Transactions on Cybernetics, 2022 - ieeexplore.ieee.org
As we all know, heterogeneity is a very important feature of multiagent systems (MASs). In
this article, we examine the consensus control problems of matrix-weighted hybrid MASs …

Cluster consensus on matrix-weighted switching networks

L Pan, H Shao, M Mesbahi, D Li, Y Xi - Automatica, 2022 - Elsevier
This paper examines cluster consensus for multi-agent systems on matrix-weighted
switching networks. Necessary and/or sufficient conditions under which cluster consensus …

Discrete-time matrix-weighted consensus

Q Van Tran, MH Trinh, HS Ahn - IEEE Transactions on Control …, 2021 - ieeexplore.ieee.org
This article investigates discrete-time consensus of multiagent networks over undirected and
connected graphs, whose edges are weighted by nonnegative definite matrices, under …

Breaking indecision in multiagent, multioption dynamics

A Franci, M Golubitsky, I Stewart, A Bizyaeva… - SIAM Journal on Applied …, 2023 - SIAM
How does a group of agents break indecision when deciding about options with qualities
that are hard to distinguish? Biological and artificial multiagent systems, from honeybees …