IEEE Trans Cybern. 2022 Aug;52(8):7682-7693. doi: 10.1109/TCYB.2020.3035358. Epub 2022 Jul 19.
This article considers the quasisynchronization of memristive neural networks (MNNs) with communication delays via event-triggered impulsive control (ETIC). In view of the limited communication and bandwidth, we adopt a novel switching event-triggered mechanism (ETM) that not only decreases the times of controller update and the amount of data sent out but also eliminates the Zeno behavior. By using an appropriate Lyapunov function, several algebraic conditions are given for quasisynchronization of MNNs with communication delays. More important, there is no restriction on the derivation of the Lyapunov function, even if it is an increasing function over a period of time. Then, we further propose a switching ETM depending on communication delays and aperiodic sampling, which is more economical and practical and can directly avoid Zeno behavior. Finally, two simulations are presented to validate the effectiveness of the proposed results.
本文考虑了具有通信时滞的忆阻神经网络（MNN）通过事件触发脉冲控制（ETIC）的准同步。针对有限的通信和带宽，我们采用了一种新的切换事件触发机制（ETM），该机制不仅减少了控制器更新的次数和发送的数据量，而且消除了零频率行为。通过使用适当的李雅普诺夫函数，给出了具有通信时滞的 MNN 准同步的几个代数条件。更重要的是，对李雅普诺夫函数的导数没有限制，即使它在一段时间内是递增的函数。然后，我们进一步提出了一种依赖于通信延迟和非周期采样的切换 ETM，它更经济实用，可以直接避免零频率行为。最后，给出了两个仿真来验证所提出结果的有效性。
