  In this paper, we extend the decomposable systems framework to multi-agent
systems with Bernoulli distributed packet loss with uniform probability. The
proposed sufficient analysis conditions for mean-square stability and
$H_2$-performance -- which are expressed in the form of linear matrix
inequalities -- scale linearly with increased network size and thus allow to
analyse even very large-scale multi-agent systems. A numerical example
demonstrates the potential of the approach by application to a first-order
consensus problem.
