A Decomposition Approach to Multi-Agent Systems with Bernoulli Packet Loss

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