Exponential Synchronization of Nonlinear Multi-weighted Complex Dynamic Networks with Hybrid Time Varying Delays

In this article, we investigate an exponential synchronization problem for the multi-weighted complex dynamical network (MCDN) with hybrid delays on a time scale. Here we consider a general model for multi-weighted complex dynamical networks in both discrete as well as continuous-time systems. Based on the theory of time scale and standard Lyapunov–Krasovskii functional, a novel sufficient conditions guaranteeing the exponential stability of the origin of complex dynamical networks are determined in terms of Linear Matrix Inequality. Finally, two numerical examples with their simulations are presented to demonstrate the efficiency of the proposed method.