Robust control of decomposable LPV systems under time-invariant and time-varying interconnection topologies (Part 1)

In this paper and its companion paper [1], an approach for the distributed control of a class of interconnected systems is proposed. The systems under consideration are known as decomposable systems, which include multi-agent systems as a special case. In this paper, the first part of this series of two papers, sufficient conditions for stability analysis are established, when the interconnection topology is uncertain but an element of a known set. The cases of directed time-invariant and time-varying topologies are discussed. Part two extends recent work on state feedback to output feedback controller synthesis in the face of time-varying uncertainties in the subsystems.