Author(s)

Yangtao Wang^*, Kelin Li^#

College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China.

In this paper, the author studies the global stability of fractional-order fuzzy memristor neural networks with time delay and impulses. By applying the contraction mapping principle, the author proves the existence and uniqueness of the equilibrium point in this paper, thereby obtaining the prerequisite conditions for the stability of the system. Then, by establishing an appropriate Lyapunov function and using the relevant knowledge of fractional calculus, the author provides the relevant criteria for the stability of the system. Finally, the feasibility of the theoretical results is verified through numerical simulation experiments.

Fuzzy Memristor Neural Network, Global Stability, Fractional Order, Time Delay, Impulse

Wang, Y. and Li, K. (2025) Global Stability of Fractional-Order Fuzzy Memristive Neural Networks with Time Delay and Impulses. Open Journal of Applied Sciences, 15, 1178-1195. doi: 10.4236/ojapps.2025.155082.