Asymptotic Analysis of a Cucker–Smale System with Leadership and Distributed Delay

@article{Pignotti2019AsymptoticAO,
  title={Asymptotic Analysis of a Cucker–Smale System with Leadership and Distributed Delay},
  author={Cristina Pignotti and Irene Reche Vallejo},
  journal={Trends in Control Theory and Partial Differential Equations},
  year={2019}
}
We extend the analysis developed in Pignotti and Reche Vallejo (J Math Anal Appl 464:1313–1332, 2018) [34] in order to prove convergence to consensus results for a Cucker–Smale type model with hierarchical leadership and distributed delay. Flocking estimates are obtained for a general interaction potential with divergent tail. We analyze also the model when the ultimate leader can change its velocity. In this case we give a flocking result under suitable conditions on the leader’s acceleration. 
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  • J. Haskovec
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    Journal of Mathematical Analysis and Applications
  • 2022
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