Some New Criterions for Stability of Hopfield Type Neural Network Systems Based on Subpositive Definite Matrices

Abstract

Stability of Hopfield type neural network systems is an important research problem, many articles have rather thoroughly researched it, and some new criterions have been established based on M matrix and positive definite matrix or negative definite matrix. In this paper, subpositive definite matrices (subnegative definite matrix) are led into Hopfield type neural network systems, and under relatively weak condition, another new criterions are acquired