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

By Cristina Pignotti, Irene Reche Vallejo. Journal of Mathematical Analysis and Applications, 2017

79 citations recorded by the source corpus.

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. We also prove a flocking estimate in the case of a free-will leader. 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.

Subfields: Computer Networks and Communications, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/0955dd3d2e3a4a3c41f57f3b03fcd6f22f47fcaf