This study aims to solve the fixed/predefined-time projective synchronization (FTPS/PTPS) of quaternion-valued BAM neural networks (BAMNNs) through event-triggered aperiodic intermittent control (ETAIC). Firstly, a novel quaternion-valued BAMNN model is established by integrating discontinuous activations, parameter uncertainties and time-varying delays. Subsequently, under the framework of the non-separation method several concise ETAIC schemes are designed by utilizing an exponential term instead of a sign function and two power-law terms. Different from the previous time-triggered intermittent controllers, the control and rest intervals of the ETAIC strategies are determined according to the dynamics of the network rather than being pre-specified. Furthermore, several adequate conditions are acquired to guarantee the FTPS and PTPS of the considered networks by constructing auxiliary functions and applying Taylor expansion Ultimately, three simulation examples are presented to confirm the validity and usefulness of the theoretical findings.

中文翻译：

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事件触发非周期间歇控制下四元数值 BAM 神经网络的固定/预定义时间投影同步


本研究旨在通过事件触发的非周期间歇控制（ETAIC）解决四元数值BAM神经网络（BAMNN）的固定/预定义时间投影同步（FTPS/PTPS）。首先，通过集成不连续激活、参数不确定性和时变延迟，建立了一种新颖的四元数值 BAMNN 模型。随后，在非分离方法的框架下，利用指数项代替符号函数和两个幂律项，设计了几种简洁的ETAIC方案。与以往的时间触发间歇控制器不同，ETAIC策略的控制和休息间隔是根据网络动态确定的，而不是预先指定的。此外，通过构造辅助函数和应用泰勒展开，获得了几个充分的条件来保证所考虑网络的FTPS和PTPS。最后，给出了三个仿真例子来证实理论结果的有效性和实用性。