The impulsive synchronization of coupled neural networks with input saturation and the term of reaction–diffusion via a hybrid control strategy is investigated. In this paper, a hybrid controller is proposed, including impulsive controller with input saturation and intermittent controller. This type of hybrid controller can not only solve the periodic and aperiodic intermittent control, lower the update frequency of the controller, but also avoid the saturation phenomenon of impulsive control. Based on linear matrix inequalities (LMIs), and Jensen’s inequality, under a proposed suitable Lyapunov function, a series of sufficient conditions are established to guarantee the stability of the error system. Compared with the recent relevant impulsive saturation results, the polytopic representation method dealing with actuator saturation may make the synchronization criterion more universal and less restrictive. Finally, a numerical example is provided to verify the correctness and feasibility of the theoretical results.

中文翻译：

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通过间歇控制和饱和脉冲同步耦合反应-扩散神经网络

通过混合控制策略研究了具有输入饱和和反应扩散项的耦合神经网络的脉冲同步。本文提出了一种混合控制器，包括输入饱和的脉冲控制器和间歇控制器。这种混合控制器不仅可以解决周期性和非周期性间歇控制，降低控制器的更新频率，还可以避免脉冲控制的饱和现象。基于线性矩阵不等式(LMI)和Jensen不等式，在提出的合适的Lyapunov函数下，建立了一系列保证误差系统稳定性的充分条件。与近期相关的脉冲饱和结果相比，处理执行器饱和的多面体表示方法可以使同步标准更普遍，限制更少。最后通过数值算例验证了理论结果的正确性和可行性。