In order to improve the engineering feasibility of the memristive cellular neural network, a new memristor model with the smooth characteristic curve is designed. Based on the new memristor model, a new four-dimensional chaotic memristive cellular neural network (CNN) system is constructed, and its chaotic dynamic behaviors are analyzed. It can be applied to the secure communication based on the chaos synchronization control. Because both the external disturbances and uncertainties of internal parameters are maybe in the practical secure communication system, sliding mode control is used to perform the chaos synchronization between the sender and receiver. A new terminal sliding mode surface is designed to make the error system converge to zero in a finite time. Simulation results show that the new terminal sliding mode control has good robustness to the external disturbances and uncertainties of internal parameters, and the new chaotic memristive CNN system can be used in the secure communication by the chaos synchronization based on sliding mode control.

为了提高忆阻细胞神经网络的工程可行性，设计了一种具有平滑特征曲线的忆阻器模型。基于新的忆阻器模型，构造了新的四维混沌忆阻细胞神经网络（CNN）系统，并分析了其混沌动力学行为。可以将其应用于基于混沌同步控制的安全通信。因为外部干扰和内部参数的不确定性可能都在实际的安全通信系统中，所以使用滑模控制来执行发送方和接收方之间的混沌同步。设计了新的终端滑模表面，以使误差系统在有限时间内收敛为零。