Fixed-Time Synchronization of Fifth-Order Memristor Chaotic Systems

Based on the classical Chua's circuit, a chaotic circuit is constructed including double magnetron memristors. To study the fixed-time synchronization problem about the fifth-order memristor chaotic systems, a sliding-mode surface is proposed firstly. Then, a suitable controller is devised by using the sliding-mode control method. The sliding-mode surface is reached, then the stability on the surface also can be achieved within a fixed time thereafter. Moreover, the settling time for system synchronization is estimated, and numerical simulations confirm the correctness of the theory.