3 papers
math.OC2026
Asymptotic consensus and flocking under decaying persistent excitation on rooted digraphs
Chiara Cicolani, Elisa Continelli, Cristina Pignotti
In this paper, we investigate first- and second-order alignment models with non-universal interaction, time delays and possible communication failures, extending the results in [17…
math.AP2026
Flocking and Mean-Field Analysis of Delayed Leader-Follower Cucker-Smale System
Chiara Cicolani
Inspired by \cite{CCP}, we investigate a delayed leader-follower Cucker-Smale model describing the collective dynamics of interacting agents subject to communication lags. We first…
math.AP2025
Time-delayed opinion dynamics with leader-follower interactions: consensus, stability, and mean-field limits
Young-Pil Choi, Chiara Cicolani, Cristina Pignotti
We study a time-delayed variant of the Hegselmann-Krause opinion formation model featuring a small group of leaders and a large group of non-leaders. In this model, leaders influen…