  We study a variant of the Cucker-Smale system with distributed reaction
delays. Using backward-forward and stability estimates on the quadratic
velocity fluctuations we derive sufficient conditions for asymptotic flocking
of the solutions. The conditions are formulated in terms of moments of the
delay distribution and they guarantee exponential decay of velocity
fluctuations towards zero for large times. We demonstrate the applicability of
our theory to particular delay distributions - exponential, uniform and linear.
For the exponential distribution, the flocking condition can be resolved
analytically, leading to an explicit formula. For the other two distributions,
the satisfiability of the assumptions is investigated numerically.
