A Decomposition Approach to Multiagent Systems With Bernoulli Packet Loss
Christian Hespe, Hamideh Saadabadi, Adwait Datar, Herbert Werner, Yang Shan Tang · IEEE Transactions on Control of Network Systems · 2023
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 andH2-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.