This article investigates finite-time synchronization of neural networks (NNs) with infinite discrete time-varying delays and discontinuous activations (DDNNs). By virtue of theory of differential inclusions, comparison strategies, and inequality techniques, finite-time synchronization of the underlying DDNNs can be developed via a discontinuous state feedback control law, and the synchronous settling time can be estimated. The delayed state feedback controller and finite-time stability theorem are not employed during the analysis. As a special case, finite-time synchronization of NNs with bounded delays and discontinuous activations is given. Finally, two examples are provided to illustrate the validity of the theories.

中文翻译：

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具有无限离散时变延迟和不连续激活的神经网络的有限时间同步


本文研究具有无限离散时变延迟和不连续激活 (DDNN) 的神经网络 (NN) 的有限时间同步。凭借微分包含理论、比较策略和不等式技术，可以通过不连续状态反馈控制律开发底层 DDNN 的有限时间同步，并且可以估计同步稳定时间。分析过程中没有采用延迟状态反馈控制器和有限时间稳定性定理。作为一种特殊情况，给出了具有有限延迟和不连续激活的神经网络的有限时间同步。最后，提供两个例子来说明理论的有效性。