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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.OC2024
Opinion dynamics under common influencer assumption or leadership control
Chiara Cicolani, Badis Ouahab, Cristina Pignotti
We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two differe…
math.OC2024★ 1 cited
Asymptotic synchronization of Kuramoto oscillators with time delay and non-universal interaction
Conor Carty, Young-Pil Choi, Chiara Cicolani +1
We study the emergence of synchronization in the Kuramoto model on a digraph in the presence of time delays. Assuming the digraph is strongly connected, we first establish a unifor…