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arXiv · 1707.09244

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

Cristina Pignotti·Irene Reche Vallejo
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Abstract

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.

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Cristina Pignotti, Irene Reche Vallejo. 2018-04-13. Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership. https://doi.org/10.1016/j.jmaa.2018.04.070

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