Abstract: In actual network systems,there are widespread external interference and parameter mutations and other uncertain phenomena,which will cause the system to fail to achieve synchronization,and even destroy the stability of the system.Therefore,it is important to study uncertain complex networks.This paper discusses the synchronization problem of nonlinear uncertain complex dynamical networks with sampled-data and input saturation.Firstly,we establish a nonlinear and uncertain complex network model.Secondly,a leader is introduced to design a sampled-data control protocol with input saturation.By constructing an appropriate time-dependent Lyapunov functional and applying the stability theory,integral inequality method and the linear matrix inequality method,it is proved that the nonlinear uncertain complex dynamical networks can achieve synchronization under certain conditions,that is every follower can track the leader,and the sufficient criteria for achieving synchronization of nonlinear uncertain complex networks is derived.Finally,simulation examples are provided to verify the effectiveness and validity of the theoretical results.

Key words: Input saturation, Lyapunov function, Sampled-data control, Synchronization, Uncertain complex networks