Finite-time Anti-synchronization of Memristor Oscillation System

Abstract

This paper investigates the finite-time anti-synchronization problem for a class of memristor oscillation circuit systems. Firstly, a 4th order memristor chaotic circuit system is derived using a quadratic nonlinear activated magneto-controlled memristor instead of the Chua diode in the Chua circuit. Then, a suitable controller is designed utilizing Lyapunov stability theory to drive the drive-response systems to finite-time anti-synchronization. Furthermore, the derived synchronization criterion is related to the system parameters. Therefore, the results obtained are more general and extend previous work. Finally, a numerical example is given and simulated to verify the validity of the results obtained.