Synchronization of a time-varying delayed complex dynamical network with nonidentical nodes and free coupling matrix

This paper is concerned with the problem of inner synchronization for a time-varying delayed complex network which consists of nonidentical nodes and free coupling matrix. The static gain feedback controller has been proposed to achieve the synchronization. Based on Lyapunov stability theory and LMI (linear matrix inequality) approach, a delay-dependent stability criterion which guarantees the asymptotic synchronization of the complex network, is established. The criterion is expressed in terms of LMI which can be easily solved by standard convex optimization algorithms. Finally, a numerical simulation is given to illustrate the proposed method.