TWO-LAYER STABILIZATION OF CONTINUOUS NEURAL NETWORKS WITH FEEDBACKS

Methods of stabilization as applied to Hopfield-type continuous neural networks with a unique equilibrium point are considered. These methods permit the design of stable networks where the elements of the interconnection matrix and nonlinear activation functions of separate neurons vary with time. For stabilization with a variable interconnection matrix it is suggested that a new second layer of neurons be introduced to the initial single-layer network and some additional connections be added between the new and old layers. This approach gives us a system with a unique equilibrium point that is globally asymptotically stable, i.e. the entire space serves as the domain of attraction of this point, and the stability does not depend on the interconnection matrix of the system. In the case of the variable activation functions, some results from a recent investigation of the absolute stability problem for neural networks are presented, along with some recommendations.