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20222026
most citedConsensus for the Hegselmann-Krause model with time variable time delays

12 citations · 33 across the 12 of their papers we have counts for

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9 papers · 1 filter

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.OC2025★ 2 cited

A note on the Cucker-Smale model with time delay and communication failures

Elisa Continelli

In this paper, we deal with a Cucker-Smale model with time-dependent time delay and communication failures. Namely, we investigate the situation in which the agents involved in a f…

math.OC2024★ 2 cited

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

Chiara Cicolani, Elisa Continelli, Cristina Pignotti

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, w…

math.OC2024★ 3 cited

Exponential decay of solutions to linear evolution equations with time-dependent time delay

Elisa Continelli, Cristina Pignotti

In this note, we analyze an abstract evolution equation with time-dependent time delay and time-dependent delay feedback coefficient. We assume that the operator corresponding to t…

math.OC2023★ 2 cited

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

Elisa Continelli, Cristina Pignotti

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 sit…

math.OC2023★ 5 cited

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

Elisa Continelli, Cristina Pignotti

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 inv…

math.OC2023

Semiconcavity for the minimum time problem in presence of time delay effects

Elisa Continelli, Cristina Pignotti

In this paper, we deal with a minimum time problem in presence of a time delay The value function of the considered optimal control problem is no longer defined in a subset of…

math.OC2022★ 12 cited

Consensus for the Hegselmann-Krause model with time variable time delays

Elisa Continelli, Cristina Pignotti

In this paper, we analyze a Hegselmann-Krause opinion formation model with time-variable time delay and prove that, if the influence function is always positive, then there is expo…

math.OC2022★ 5 cited

Asymptotic flocking for the Cucker-Smale model with time variable time delays

Elisa Continelli

In this paper, we investigate a Cucker-Smale flocking model with varying time delay. We establish exponential asymptotic flocking without requiring smallness assumptions on the tim…