Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays

We analyze the flocking behavior of a Cucker Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small. (C) 2018 Elsevier Ltd. All rights reserved.