Abstract
This problem addresses the fractional order lag synchronization for multi-weighted complex dynamical networks with coupling delays via non-fragile control. Establishing a general multi-weighted complex network model including the coupling delays with external disturbances and investigates the lag synchronization criteria using the state feedback non-fragile control. Based on the Lyapunov stability theorem and comparison principle, we ensured our model guarantees the lag synchronization under the controller. The effectiveness of the proposed work is shown in numerical simulations with examples.