Synchronization of nonlinear complex networks with input delays and minimum-phase zero dynamics

The problem of asymptotic synchronization of a complex network consisting of identical nonlinear agents is solved. A small-dimensional problem (with dimension equal to the dimension of only one agent) is derived; its solution is used to solve the asymptotic synchronization problem with a large number of agents. This auxiliary problem is formulated using linear matrix inequalities. The agents of the complex network are supposed to be minimum-phase systems, proof of synchronization of the nonobservable parts is given as well. The results are illustrated by an example.