Synchronization of Sampled-data Coupling Nonlinear Systems in Time-varying Networks

Abstract

This paper investigates synchronization in time-varying networks of nonlinear systems with sampled-data couplings. In particular, we consider the synchronization problem of systems with a time-varying network structure realized by switching between multiple network structures, including the completely disconnected network. Throughout this paper, we derive a synchronization condition for sampled-data network systems with such a time-varying network structure by introducing a concept of the average dwell time. Finally, we show a numerical simulation result to illustrate the validity of the derived condition.