This article aims to study a class of discontinuous fuzzy inertial Cohen–Grossberg neural networks (DFICGNNs) with discrete and distributed time-delays. First of all, in order to deal with the discontinuities by the differential inclusion theory, based on a generalized variable transformation including two tunable variables, the mixed time-varying delayed DFICGNN is transformed into a first-order differential system. Then, by constructing a modified Lyapunov–Krasovskii functional concerning with the mixed time-varying delays and designing a delayed feedback control law, delay-dependent criteria formulated by algebraic inequalities are derived for guaranteeing the finite-time stabilization (FTS) for the addressed system. Moreover, the settling time is estimated. Some related stability results on inertial neural networks is extended. Finally, two numerical examples are carried out to verify the effectiveness of the established results.

本文旨在研究一类具有离散和分布式时滞的不连续模糊惯性 Cohen-Grossberg 神经网络 (DFICGNNs)。首先，为了处理微分包含理论的不连续性，基于包含两个可调变量的广义变量变换，将混合时变延迟DFICGNN转化为一阶微分系统。然后，通过构建与混合时变延迟相关的改进 Lyapunov-Krasovskii 泛函并设计延迟反馈控制律，推导出由代数不等式制定的延迟相关准则，以保证所寻址系统的有限时间稳定 (FTS) . 此外，估计稳定时间。扩展了惯性神经网络的一些相关稳定性结果。最后，