This article mainly focuses on putting forward new fixed-time (FIXT) stability lemmas of delayed Filippov discontinuous systems (FDSs). By providing the new inequality conditions imposed on the Lyapunov–Krasovskii functions (LKF), novel FIXT stability lemmas are investigated with the help of inequality techniques. The new settling time is also given and its accuracy is improved in comparison with pioneer ones. For the purpose of illustrating the applicability, a class of discontinuous fuzzy neutral-type neural networks (DFNTNNs) is considered, which includes the previous NTNNs. New criteria are derived and detailed FIXT synchronization results have been obtained. Finally, typical examples are carried out to demonstrate the validity of the main results.

中文翻译：

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时变时滞不连续系统新的固定时间稳定性判据及其在不连续神经网络中的应用


本文主要致力于提出时滞 Filippov 不连续系统 (FDS) 的新固定时间 (FIXT) 稳定性引理。通过提供对 Lyapunov-Krasovskii 函数 (LKF) 施加新的不等式条件，借助不等式技术研究了新颖的 FIXT 稳定性引理。还给出了新的稳定时间，其精度较前辈有所提高。为了说明适用性，考虑一类不连续模糊中性神经网络（DFNTNN），其中包括先前的 NTNN。推导了新的标准，并获得了详细的 FIXT 同步结果。最后通过典型算例验证了主要结果的有效性。