Cucker-Smale model with time delay

<p style='text-indent:20px;'>We study the flocking model for continuous time introduced by Cucker and Smale adding a positive time delay <inline-formula><tex-math id="M1">\begin{document}$ \tau $\end{document}</tex-math></inline-formula>. The goal of this article is to prove that the same unconditional flocking result for the non-delayed case is valid in the delayed case. A novelty is that we do not need to impose any restriction on the size of <inline-formula><tex-math id="M2">\begin{document}$ \tau $\end{document}</tex-math></inline-formula>. Furthermore, when the unconditional flocking occurs, velocities converge exponentially fast to a common one.</p>