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

Wenyong Duan, Yan Li, Yi Sun, Jian Chen and Xiaodong Yang

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 177, issue C, 276-294

Abstract: 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.

Keywords: Chaotic Lur’e systems; Master–slave systems; Synchronization; Time-delayed system; Time-delayed feedback (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:177:y:2020:i:c:p:276-294

DOI: 10.1016/j.matcom.2020.04.010

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