Fixed/predefined-time stabilization based on hyperbolic cosine function for memristive neural networks with mixed delays

Zhongtao He, G Wei Kevin Zhang, Shiping Wen · Franklin Open · 2026

This study explores fixed-time (FXT) stabilization, predefined-time (PDT) stabilization for a specific category of nonlinear dynamic systems. Through the introduction of the hyperbolic cosine function and the application of the Lyapunov approach, innovative FXT and PDT stabilization theorems are put forward. Leveraging these theoretical outcomes, FXT and PDT stabilization is realized for memristive neural networks (MNNs) with mixed delays by devising a suitable control strategy. Eventually, numerical simulation cases are presented to verify the core research results.

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