Scalable stability analysis for homogeneous networks of dynamical systems interacting via aperiodic sampled-data channels

Abstract

This paper is about the robust stability of networked homogeneous continuous-time dynamical systems that interact via communication channels which sample in an uncertain aperiodic fashion. The stability certificate is established using an integral-Quadratic-constraint based approach in which homogeneity of the linear time-invariant system dynamics and communication link sampling uncertainty is exploited for scalability. The main result is a stability certificate that is independent of both the number of systems and the network topology.