  In this paper, we study sufficient conditions for the emergence of asymptotic
consensus and flocking in a certain class of non-linear generalised
Cucker-Smale systems subject to multiplicative communication failures. Our
approach is based on the combination of strict Lyapunov design together with
the formulation of a suitable persistence condition for multi-agent systems.
The latter can be interpreted as a lower bound on the algebraic connectivity of
the time-average of the interaction graph generated by the communication
weights, and provides quantitative decay estimates for the variance functional
along the solutions of the system.
