A Decomposition Approach to Multiagent Systems With Bernoulli Packet Loss

In this article, we extend the decomposable systems' framework to multiagent systems with Bernoulli-distributed packet loss with a uniform probability. The proposed sufficient analysis conditions for mean-square stability (MSS) and
H₂
-performance—which are expressed in the form of linear matrix inequalities—scale linearly with an increased network size and, thus, allow us to analyze even very large scale multiagent systems. A numerical example demonstrates the potential of the approach by application to a first-order consensus problem.