Finite‐Time and Fixed‐Time Synchronization of Memristor‐based Neural Networks With Proportional Delays via Chattering‐free Quantized Control

ABSTRACT The study designed two chattering‐free quantized controllers aimed at achieving finite‐time and fixed‐time synchronization of memristive neural networks (MNNs) based on quantized control. These controllers are not only easy to implement but also effectively handle the mismatched uncertainties and proportional delays in Filippov solutions, ensuring chattering‐free operation. By introducing a new Lyapunov function and using the 1‐norm method, the study derived several sufficient conditions to guarantee drive‐response synchronization of MNNs within finite or fixed time. To verify the accuracy of these theoretical results, numerical simulations were conducted, demonstrating the effectiveness and reliability of the proposed methods.