STABILITY OF HOPFIELD’S NEURAL NETWORKS WITH DELAY

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru

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The author investigates Lyapunov asymptotic stability of Hopfield neural networks with time lag, described by systems of nonlinear normal differential equations. The article considers Hopfield neural networks with time lags and discontinuous activation functions.

Hopfield neural networks, asymptotic stability, Lyapunov stability.