A tutorial on modeling and analysis of dynamic social networks. Part I

AV Proskurnikov, R Tempo - Annual Reviews in Control, 2017 - Elsevier
In recent years, we have observed a significant trend towards filling the gap between social
network analysis and control. This trend was enabled by the introduction of new …

Consensus problems on networks with antagonistic interactions

C Altafini - IEEE transactions on automatic control, 2012 - ieeexplore.ieee.org
In a consensus protocol an agreement among agents is achieved thanks to the collaborative
efforts of all agents, expresses by a communication graph with nonnegative weights. The …

Convergence of type-symmetric and cut-balanced consensus seeking systems

JM Hendrickx, JN Tsitsiklis - IEEE Transactions on Automatic …, 2012 - ieeexplore.ieee.org
We consider continuous-time consensus seeking systems whose time-dependent
interactions are cut-balanced, in the following sense: if a group of agents influences the …

Product of random stochastic matrices

B Touri, A Nedić - IEEE Transactions on Automatic Control, 2013 - ieeexplore.ieee.org
The paper deals with the convergence properties of the products of random (row-) stochastic
matrices. The limiting behavior of such products is studied from a dynamical system point of …

Recurrent averaging inequalities in multi-agent control and social dynamics modeling

AV Proskurnikov, GC Calafiore, M Cao - Annual Reviews in Control, 2020 - Elsevier
Many multi-agent control algorithms and dynamic agent-based models arising in natural and
social sciences are based on the principle of iterative averaging. Each agent is associated to …

Control via leadership of opinion dynamics with state and time-dependent interactions

F Dietrich, S Martin, M Jungers - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We study opinion dynamics systems controlled by a leader. Following findings from
experimental social psychology, the influence weights considered here have the peculiarity …

Modelling influence and opinion evolution in online collective behaviour

C Vande Kerckhove, S Martin, P Gend, PJ Rentfrow… - PloS one, 2016 - journals.plos.org
Opinion evolution and judgment revision are mediated through social influence. Based on a
large crowdsourced in vitro experiment (n= 861), it is shown how a consensus model can be …

Convergence analysis on multi-AUV systems with leader-follower architecture

W Xing, Y Zhao, HR Karimi - IEEE Access, 2017 - ieeexplore.ieee.org
In multi-autonomous underwater vehicle (multi-AUV) systems, the convergence rate is
characterized by the pace of consistency of the key state information for each member. The …

Coordination in networks of linear impulsive agents

IC Morărescu, S Martin, A Girard… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Consensus in heterogeneous networks containing both linear and linear impulsive
dynamics is considered in this paper. The model applies for networks of interconnected …

Continuous-time consensus under non-instantaneous reciprocity

S Martin, JM Hendrickx - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
We consider continuous-time consensus systems whose interactions satisfy a form of
reciprocity that is not instantaneous, but happens over time. We show that these systems …