arXiv subjects

Irene Reche Vallejo

Publications and source records attributed to Irene Reche Vallejo.

2 recordsLinked to original sources

arXiv2018

Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay

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.

math.OC↗

arXiv2018

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

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 convergence to consensus for every positive delay $τ$. These results seem to point out the advantage of a hierarchical structure in order to contrast time delay effects that frequently appear in real situations.

math.OC↗