This article focuses on designing an event-triggered impulsive fault-tolerant control strategy for the stabilization of memristor-based reaction–diffusion neural networks (RDNNs) with actuator faults. Different from the existing memristor-based RDNNs with fault-free environments, actuator faults are considered here. A hybrid event-triggered and impulsive (HETI) control scheme, which combines the advantages of event-triggered control and impulsive control, is newly proposed. The hybrid control scheme can effectively accommodate the actuator faults, save the limited communication resources, and achieve the desired system performance. Unlike the existing Lyapunov–Krasovskii functionals (LKFs) constructed on sampling intervals or required to be continuous, the introduced LKF here is directly constructed on event-triggered intervals and can be discontinuous. Based on the LKF and the HETI control scheme, new stabilization criteria are derived for memristor-based RDNNs. Finally, numerical simulations are presented to verify the effectiveness of the obtained results and the merits of the HETI control method.

中文翻译：

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具有执行器故障的基于忆阻器的 RDNN 的事件触发脉冲容错控制

本文重点设计事件触发的脉冲容错控制策略，以稳定具有执行器故障的基于忆阻器的反应扩散神经网络 (RDNN)。与现有的具有无故障环境的基于忆阻器的 RDNN 不同，这里考虑了执行器故障。新提出了一种混合事件触发和脉冲（HETI）控制方案，它结合了事件触发控制和脉冲控制的优点。混合控制方案可以有效地适应执行器故障，节省有限的通信资源，实现理想的系统性能。与现有的 Lyapunov–Krasovskii 泛函 (LKF) 不同，LKF 构建在采样间隔上或要求连续，这里引入的LKF是直接在事件触发的区间上构建的，可以是不连续的。基于 LKF 和 HETI 控制方案，为基于忆阻器的 RDNN 推导出了新的稳定标准。最后,通过数值仿真验证了所得结果的有效性和HETI控制方法的优点。