Finite-Time Synchronization for Coupled Heterogeneous Complex Networks via Differential Inequality Way

This paper considers the finite-time synchronization (FTS) for the drive-response (DR) coupled heterogeneous complex networks. By adopting differential inequality approach, two criteria on FTS for the networks are derived. Up to now, the FTS for DR complex networks (CNS) has been studied usually by adopting the finite-time stability theorems, Lyapunov functional way and linear matrix inequality. The results obtained have been independent of the initial values of systems. But, in this paper, without applying above approaches, the FTS criterias related to the initial values of the considered DR CNS are attained by adopting the differential inequality method. So, our study has important theoretical and practical significance.