Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay
Optimization and Control
2018-07-10 v1
Abstract
We extend the analysis developed in [33] 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.
Keywords
Cite
@article{arxiv.1807.03172,
title = {Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay},
author = {Cristina Pignotti and Irene Reche Vallejo},
journal= {arXiv preprint arXiv:1807.03172},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1707.09244