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math.OC2025

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

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 o…

math.OC2024

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

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…

math.OC2024

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…