Exponential synchronization of complex networks with nonidentical time varying coupling delays and switching topology

Abstract

In this paper, the exponential synchronization is discussed for the complex dynamical networks with nonidentical time varying coupling delays and switching topology. By adopting the average dwell time and free weight matrix approach of the switched systems, the delay-dependent sufficient conditions are derived to ensure the exponential synchronization of the complex networks where all subnetworks are self-synchronizing. The inferior bound of the ratio between total active time of self-synchronizing and nonsynchronizing is given to guarantee the exponential synchronization of the entire networks where some subnetworks are nonsynchronizing as well as the average dwell time.