Novel fixed‐time stability lemmas and applications for a class of discontinuous fuzzy complex‐valued inertial neural networks with time‐varying delays

Abstract The core contribution of this article is the development of two novel fixed‐time (FXT) stability lemmas, which eliminate the need for conventional case‐based discussions on and . To validate the proposed lemmas, the FXT synchronization problem of discontinuous fuzzy complex‐valued inertial neural networks (DFCVINNs) is investigated using a nonseparation approach combined with elementary inequality techniques. In comparison with existing results, the proposed method significantly enhances the accuracy of settling time (ST) estimation. Finally, numerical simulations are presented to demonstrate the effectiveness and correctness of the theoretical findings.