Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability

We describe certain classes of linear asynchronous multi-agent systems in discrete time for which the stability problem allows for a constructive solution. We also present a general analytic approach to constructing numerical characteristics similar to the generalized spectral radius in stability theory, which would provide an opportunity to analyze the stabilizability of controlled multi-agent systems. This work completes our survey “Consensus in Asynchronous Multi-Agent Systems,” whose first two parts have been published in [1, 2].