In this paper, stabilization for a class of Takagi-Sugeno (T-S) fuzzy memristive neural networks (FMNNs) with mixed time delays is investigated. By virtue of theories of differential equations with discontinuous right-hand sides, inequality techniques, and the comparison method, an algebraic criterion is derived to stabilize the addressed FMNNs with bounded discrete and distributed time delays via a designed fuzzy state feedback controller in Filippov's sense. The result can be reinforced to stabilize FMNNs with unbounded discrete time delays. Meanwhile, exponential stabilization of FMNNs with bounded discrete time delays and unbounded continuously distributed delays is also discussed. FMNNs in this study are general since fuzzy logics and hybrid time delays are all considered, and the obtained conditions enhance and extend some existing ones. Finally, four numerical simulations are carried out to substantiate the efficiency and merits of developed theoretical results.

中文翻译：

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混合时滞模糊忆阻神经网络的稳定性


在本文中，研究了一类具有混合时间延迟的 Takagi-Sugeno (TS) 模糊忆阻神经网络 (FMNN) 的稳定性。借助右侧不连续微分方程理论、不等式技术和比较方法，通过设计 Filippov 意义上的模糊状态反馈控制器，导出了代数准则，以稳定具有有界离散和分布式时滞的 FMNN。结果可以得到加强，以稳定具有无限离散时间延迟的 FMNN。同时，还讨论了具有有界离散时间延迟和无界连续分布延迟的 FMNN 的指数稳定性。本研究中的 FMNN 具有通用性，因为都考虑了模糊逻辑和混合时滞，并且所获得的条件增强和扩展了一些现有的条件。最后，进行了四次数值模拟，以证实所开发的理论结果的效率和优点。