83 citations · 179 across the 36 of their papers we have counts for
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Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays
Cristina Pignotti, Emmanuel Trélat
We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting collective dynamics and their possible evolution to consensus. The objective of this paper…
Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership
Cristina Pignotti, Irene Reche Vallejo
We analyze the Cucker-Smale model under hierarchical leadership in presence of a time delay. By using a Lyapunov functional approach and some induction arguments we will prove conv…
Well-posedness and stability results for nonlinear abstract evolution equations with time delays
Serge Nicaise, Cristina Pignotti
We consider abstract evolution equations with a nonlinear term depending on the state and on delayed states. We show that, if the -semigroup describing the linear part of the…
Stability results for abstract evolution equations with intermittent time-delay feedback
Cristina Pignotti
We consider abstract evolution equations with on-off time delay feedback. Without the time delay term, the model is described by an exponentially stable semigroup. We show that, un…