IEEE Trans Cybern. 2019 Dec;49(12):4066-4077. doi: 10.1109/TCYB.2018.2856907. Epub 2018 Aug 8.
This paper aims at investigating the master-slave quasi-synchronization of delayed memristive neural networks (MNNs) by proposing a region-partitioning-dependent intermittent control. The proposed method is described by three partitions of non-negative real region and an auxiliary positive definite function. Whether the control input is imposed on the slave system or not is decided by the dynamical relationships among the three subregions and the auxiliary function. From these ingredients, several succinct criteria with the associated co-design procedure are presented such that the synchronization error converges to a predetermined level. The proposed intermittent control scheme is also applied to the event-triggered control, and an intermittent event-triggered mechanism is devised to investigate the quasi-synchronization of MNNs correspondingly. Such mechanism eliminates the events in rest time, and then it reduces the amount of samplings. Finally, two illustrative examples are presented to verify the effectiveness of our theoretical results.
本文旨在通过提出一种基于区域划分的间断控制方法来研究时滞忆阻神经网络（MNN）的主从准同步。该方法由非负实数区域的三个分区和一个辅助正定函数描述。控制输入是否施加于从系统取决于三个子区域和辅助函数之间的动态关系。基于这些组成部分，提出了几个简洁的准则以及相应的协同设计过程，使得同步误差收敛到预定的水平。所提出的间断控制方案也应用于事件触发控制，并设计了一种间断事件触发机制来相应地研究 MNN 的准同步。这种机制消除了休眠时间内的事件，从而减少了采样次数。最后，通过两个实例验证了所提出的理论结果的有效性。
