Consensus formation in first-order graphon models with time-varying topologies

B Bonnet, NP Duteil, M Sigalotti - Mathematical Models and Methods …, 2022 - World Scientific
In this paper, we investigate the asymptotic formation of consensus for several classes of
time-dependent cooperative graphon dynamics. After motivating the use of this type of …

Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction

E Continelli, C Pignotti - arxiv preprint arxiv:2306.07658, 2023 - arxiv.org
In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-
lacking interaction. More precisely, we investigate the situation in which the individuals …

First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures

C Cicolani, E Continelli, C Pignotti - arxiv preprint arxiv:2407.06647, 2024 - arxiv.org
In this paper, we deal with first and second-order alignment models with non-universal
interaction, time delay and possible lack of connection between the agents. More precisely …

Robust H∞ output consensus of heterogeneous nonlinear multi-agent systems with external disturbance and unknown time-delay based on distributed Lyapunov …

N Rahimi, T Binazadeh - Journal of Vibration and Control, 2024 - journals.sagepub.com
This paper investigates a Lyapunov-based Model Predictive Control (LMPC) for solving the
output consensus problem of nonlinear heterogeneous Multi-Agent Systems (MASs) subject …

Consensus under Persistence Excitation

F Ancona, M Bentaibi, F Rossi - arxiv preprint arxiv:2403.07549, 2024 - arxiv.org
We prove that a first-order cooperative system of interacting agents converges to consensus
if the so-called Persistence Excitation condition holds. This condition requires that the …

Hegselmann-Krause and Cucker-Smale type models with attractive-repulsive interaction

E Continelli, C Pignotti - arxiv preprint arxiv:2311.13238, 2023 - arxiv.org
In this paper, we analyze a Hegselmann-Krause opinion formation model and a Cucker-
Smale flocking model with attractive-repulsive interaction. To be precise, we investigate the …

Non-flocking and flocking for the Cucker-Smale model with distributed time delays

Z Zhang, X Yin, Z Gao - Journal of the Franklin Institute, 2023 - Elsevier
In this paper, we study a flocking behavior that may or not appear for Cucker-Smale model
with distributed time delays. For the short range communicated Cucker-Smale model, the …

Exponential consensus formation in time-varying multiagent systems via compactification methods

B Bonnet-Weill, M Sigalotti - arxiv preprint arxiv:2406.03286, 2024 - arxiv.org
In this article, we establish exponential contraction results for the diameter and variance of
general first-order multiagent systems. Our approach is based on compactification …

Consensus and Flocking under Communication Failure

F Ancona, M Bentaibi, F Rossi - arxiv preprint arxiv:2407.10306, 2024 - arxiv.org
For networked systems, Persistent Excitation and Integral Scrambling Condition are
conditions ensuring that communication failures between agents can occur, but a minimal …

Consensus in Multiagent Systems with lack of connection

M Bentaibi, L Caravenna, JPA Gauthier… - arxiv preprint arxiv …, 2024 - arxiv.org
We consider multi-agent systems with cooperative interactions and study the convergence to
consensus in the case of time-dependent lack of interaction. We prove a new condition …