Global asymptotic synchronization for coupled heterogeneous complex networks via Laplace transform approach

In this work, the global asymptotic synchronization (GAS) is investigated for the drive-response coupled heterogeneous complex networks (DRCHCNS). By using inequality techniques (ITS) and Laplace transform approach (LTA), two criteria for assuring the GAS for the DRCHCNS are put forward. Up to now, the results on GAS for DRCHCNS have been derived usually in various journals by applying linear matrix inequality (LMI) and matrix measure approach (MMA). However, in this work, without applying above approaches, the GAS criteria for the DRCHCNS are obtained by using the LTA. The LTA is introduced to study the GAS in our study for the complex networks (CNS), which extends the study fields of synchronization of the CNS. So our study is of very important meaning in synchronization study.