Finite-time synchronization for complex dynamical networks with hybrid coupling and time-varying delay

In this paper, the finite-time synchronization problem has been investigated for a general array model of dynamical networks with time-varying delay and hybrid coupling. The Lyapunov functional method 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, neither is their off-diagonal entries assumed to be nonnegative. Moreover, the inner linking matrices are arbitrary real matrices. Finally, numerical examples are given to demonstrate the effectiveness of the proposed synchronous criteria.