Synchronization of a complex dynamical networks using deception attacks subject to uncertainty and disturbance estimator

This work deals with the synchronization problem of complex dynamical networks (CDNs) with additive time-varying delays. To attain the desired result, an effective uncertainty and disturbance estimator (UDE)-based fault-tolerant controller with deception attacks technique is developed to overcome the obstacles. A Bernoulli random variable is employed to find the success ratio of deception attacks. By designing a suitable Lyapunov–Krasovskii functional (LKF) and utilizing Jensen’s inequality, a sufficient condition is expressed in the form of a linear matrix inequality (LMI) to ensure the asymptotic synchronization of the proposed model. Based on the UDE approach, the effects of unknown system uncertainty and external disturbance are nullified by introducing an appropriate filter. Finally, two numerical examples are presented to demonstrate the significance and applicability of the theoretical results.