A scalable method for the analysis of networked linear systems with decentralized sampled-data control

In this article, the stability analysis problem of networked linear systems with decentralized sampled-data controllers is considered. The networks under consideration are composed of interconnected identical systems. A dissipativity-based approach is utilized to analyze stability, grounded in an interconnection interpretation. A structure exploiting and scalable approach is employed to derive a sufficient stability condition for large-scale linear systems, which is independent of the number of subsystems. In the analysis, the effects of uncertainty on the system models, which include uncertainties that render the coupled systems nonidentical, aperiodic sampling, and a switching network topology, are taken into account. Numerical examples are presented to demonstrate the main result and simulate the sampled-data system.