Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership

@article{Pignotti2018FlockingEF,
  title={Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership},
  author={Cristina Pignotti and Irene Reche Vallejo},
  journal={Journal of Mathematical Analysis and Applications},
  year={2018}
}
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader
. We study the discrete-time Cucker-Smale model under hierarchical leadership with a constant time delay. The overall leader of the flock is assumed to have a free-will acceleration. The strength of
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Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays.
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Using backward-forward and stability estimates on the quadratic velocity fluctuations, sufficient conditions are derived for asymptotic flocking of the solutions of the Cucker-Smale system and the applicability of the theory to particular delay distributions is demonstrated.
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