Haydar Akca, Chaouki Aouiti, Maissa Bessifi, and Changjin Xu
Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations
Neural Parallel and Scientific Computations 32 (2024) 16-35

https://doi.org/10.46719/NPSC2024.32.02

ABSTRACT.
This paper focuses on the finite-time and fixed-time for fuzzy quaternion-valued Cohen-Grossberg neural networks (FQVCGNNs) via non-continuous activations and time-varying delays. By designing Lyapunov functions and utilizing differential inequalities, several effective conditions are derived to ensure the finite-time and fixed-time synchronization of the addressed neural networks based on two different time-delayed feedback controllers. Moreover, a novel fixed-time convergence method is proposed to study synchronization in fixed-time of discontinuous delayed FQVCGNNs. In the end, two numerical examples with simulations are given to confirm the effectiveness of the synchronization criteria.

AMS (MOS) Subject Classification. 34K24, 34K36, 68T07.