Wang Hao, Yang Xinsong, Xiang Zhengrong, Tang Rongqiang, Ning Qian
IEEE Trans Cybern. 2023 Sep;53(9):5994-6003. doi: 10.1109/TCYB.2022.3227021. Epub 2023 Aug 17.
It is challenging to synchronize switched time-delay systems when some modes are uncontrolled and the dwell time (DT) of controlled mode is very small. Therefore, in this article, global exponential synchronization almost surely (GES a.s.) in a cluster of switched neural networks (NNs) with hybrid delays (time-varying delay and infinite-time distributed delay) is investigated, where transition probability (TP)-based random mode-dependent average DT (MDADT) switching is considered. A novel mode-dependent pinning event-triggered controller with nonidentical deception attacks is proposed to save the communication resource and derive less conservative results. The two necessary and restrictive conditions in existing papers that the value of the Lyapunov-Krasovskii functional (LKF) before switching instants should be smaller than that after corresponding instant and the DT of each switching mode is restricted by the sampling intervals of the event trigger are moved. Sufficient conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the GES a.s., even though both synchronizing and nonsynchronizing modes coexist and maybe the minimum DT of synchronizing modes is very small. Numerical examples, including image encryption, are provided to demonstrate the merits of the new technique.
当一些模式不受控制且受控模式的驻留时间（DT）非常小时，同步切换时滞系统具有挑战性。因此，本文研究了具有混合时滞（时变时滞和无限时间分布时滞）的切换神经网络（NNs）集群中几乎必然全局指数同步（GES a.s.）的问题，其中考虑了基于转移概率（TP）的随机模式依赖平均DT（MDADT）切换。提出了一种具有非相同欺骗攻击的新型模式依赖钉扎事件触发控制器，以节省通信资源并获得不那么保守的结果。现有文献中两个必要且严格的条件，即切换时刻之前的李雅普诺夫 - 克拉索夫斯基泛函（LKF）的值应小于相应时刻之后的值，以及每个切换模式的DT受事件触发的采样间隔限制，被去除。给出了基于线性矩阵不等式（LMI）的充分条件，以保证GES a.s.，即使同步模式和非同步模式共存，并且同步模式的最小DT可能非常小。提供了包括图像加密在内的数值例子来证明新技术的优点。
