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Kuk, K., Stanojević, A., Čisar, P., Popović, B., Jovanović, M., Stanković, Z., et al. (2024) Applications of Fuzzy Logic and Probabilistic Neural Networks in E-Service for Malware Detection. Axioms, 13, Article 624.
https://doi.org/10.3390/axioms13090624

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• TITLE: Global Stability of Fractional-Order Fuzzy Memristive Neural Networks with Time Delay and Impulses

  AUTHORS: Yangtao Wang, Kelin Li

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

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.15 No.5, May 19, 2025

  ABSTRACT: 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.