Pinning adaptive hybrid synchronization of two general complex dynamical networks with mixed coupling

In this paper, the hybrid synchronization problem has been investigated for two delayed dynamical networks with time-varying delay and mixed coupling by the pinning adaptive control strategy. The Barbalat lemma and linear matrix inequality technique are employed to obtain some synchronization criteria less-conservative and delay-dependent. Here, the coupling configuration matrices are not required to be symmetric or irreducible. Moreover the inner linking matrices are arbitrary real matrices. Finally, numerical examples are given to demonstrate the effectiveness of the proposed synchronous criteria.