Systems of neutral type equations and the Hopfield neural network model
0000-0002-3528-7262 The material was received by the Editorial Board: 10.07.2025
In the paper, we consider the Hopfield neural network model described by a system of neutral type differential equations with several delays. Using the Lyapunov--Krasovskii functionals method, conditions are specified for the model parameters that guarantee exponential stability of the stationary solution to the considered system. Under these conditions, estimates are obtained that characterize the stabilization rate of solutions at infinity.
УДК 517.929.4
Keywords: neutral type differential equations, Hopfield neural network model, Lyapunov-Krasovskii functional, estimates for solutions, exponential stability.
References: Maria A. Skvortsova Systems of neutral type equations and the Hopfield neural network model. Mat. Trudy. 2025, 28, №3. P. 95–124. DOI: 10.25205/1560-750X-2025-28-3-95-124