The actuator of any physical control systems is constrained by amplitude and energy, which causes the control systems to be inevitably affected by actuator saturation. In this paper, impulsive synchronization of coupled delayed neural networks with actuator saturation is presented. A new controller is designed to introduce actuator saturation term into impulsive controller. Based on sector nonlinearity model approach, impulsive controls with actuator saturation and with partial actuator saturation are studied, respectively, and some effective sufficient conditions are obtained. Numerical simulation is presented to verify the validity of the theoretical analysis results. Finally, the impulsive synchronization is applied to image encryption. The experimental results show that the proposed image encryption system has high security properties.

中文翻译：

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耦合延迟神经网络与执行器饱和的脉冲同步及其在图像加密中的应用。

任何物理控制系统的执行器都会受到振幅和能量的限制，这将导致控制系统不可避免地受到执行器饱和度的影响。本文提出了具有执行器饱和的耦合时滞神经网络的脉冲同步。一种新的控制器旨在将执行器饱和项引入脉冲控制器。基于扇形非线性模型方法，分别研究了具有执行器饱和和部分执行器饱和的脉冲控制，并获得了一些有效的充分条件。通过数值模拟验证了理论分析结果的正确性。最后，脉冲同步应用于图像加密。实验结果表明，所提出的图像加密系统具有较高的安全性。