标题： 具有自延迟和非对称交互权重的Cucker-Smale模型中的群体行为 显示英文标题

标题： Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights

摘要： 我们推导了带有自延迟（也称为反应延迟）和非对称交互权重的Cucker-Smale模型渐近 flocking 的充分条件。 该条件规定了延迟长度相对于代理间通信权重衰减率的小性。 证明是通过一种将群体速度直径的衰减估计与Gronwall-Halanay不等式的变体相结合的自举论证来完成的。 显示英文摘要

摘要： We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with non-symmetric interaction weights. The condition prescribes smallness of the delay length relative to the decay rate of the inter-agent communication weight. The proof is carried out by a bootstrapping argument combining a decay estimate for the group velocity diameter with a variant of the Gronwall-Halanay inequality.