Enhanced master-slave synchronization criteria for chaotic Lur'e systems based on time-delayed feedback control

摘要

In this paper, the synchronization of master-slave Lur'e systems with time-delayed feedback control is further studied. To begin with, an augmented N-dependent Lyapunov-Krasovskii functional (LKF) is designed, where some augmented vectors are chosen to complement some coupling information between the nonlinear functions and other system state variables. Next, a new delay-dependent and its derivative-dependent synchronization criterion is proposed via the modified LKF application. In addition, in order to further demonstrate the advantages of the new LKF, a corollary is also given under a simplistic LKF. Finally, some common numerical examples are presented to show the effectiveness of the proposed approach.