Event‐based synchronisation of linear discrete‐time dynamical networks

This study investigates the problem of event‐based synchronisation of linear discrete‐time dynamical networks. Leader‐following and leaderless synchronisations are achieved by a distributed event‐trigger strategy. It is shown that feedback control updating is unnecessary until an event is triggered. The combinational‐state variables and the Riccati equation are used to construct a Liapunov function and to design the event‐triggering conditions. Numerical examples are provided to illustrate the theoretical results.