Robust imp ulsive synchronization of linear discrete dynamical networks

This paper aims to study robust impulsive synchronization problem for uncertain linear discrete dynamical network. For the discrete dynamical networks with unknown but bounded linear coupling ,by introducing the concept of uniformly positive definite matrix functions ,some robust impulsive controllers are designed ,which ensure that the state of a discrete dynamical network globally asymptotically synchronizes with an arbitrarily assigned state of an isolate node of the network. This paper also investigates the synchronization problem where the network coupling functions are uncertain but bounded nonlinear functions.Finally ,two examples are simulated to illustrate our results.