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This article investigates an adaptive multi-switching synchronization for two identical high-order memristor-based hyperchaotic systems with uncertain parameters. Firstly, the dynamic characteristics of two high-order memristor hyperchaotic systems with uncertain parameters are analyzed. Then, an adaptive multi-switching controller is designed to realize the multi-switching synchronization of the two high-order hyperchaotic systems, and the unknown parameters of the systems are identified to their true values. Furthermore, numerical simulation results testify the effectiveness of the proposed strategy. Finally, the proposed algorithm applied in secure communication of masking encryption and image encryption is validated by statistical analysis.

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This paper is concerned with the synchronization of memristor-based chaotic system subject to actuator saturation via variable impulsive control. Firstly, a memristor-based circuit model is considered, and an impulsive controller subject to actuator saturation is designed. Based on the Lyapunov stability theory and some inequality techniques, some sufficient conditions are derived to guarantee the asymptotic synchronization of the memristor-based chaotic systems. Compared with the common fixed impulsive control, the variable impulsive control used in this paper is more reliable in practical application. Finally, the numerical simulations are given to verify the effectiveness of the proposed method.

This article focuses on the impulsive synchronization of chaotic neural networks (CNNs) with time-varying delays subject to actuator saturation. By constructing discontinuous Lyapunov function and employing linear matrix inequality (LMI) approach, some sufficient conditions are derived to guarantee the synchronization object of the delayed chaotic neural networks. In addition, the control methods in this article have no strict requirements on the size of time delay and the actuator saturation domain, which is more flexible and practical in real system. Finally, a numerical example is given to verify the effectiveness of the proposed method.