Study on Stability of Equilibrium Point of Asymmetrical Internet Neural Network

The stability of equilibrium point of neural network for the large-scale dynamic system is extremely important. This article has studied the stability of equilibrium point of vector differential equation of the asymmetrical internet, proposed to utilize approximate linear equation to study the stability problem of equilibrium point of neural network. This method is simple and effective to examine the equilibrium point of the system whether to be stability. Morever it is very easy to realize the computer simulation.

1. Introduction

By mathematics viewpoint, the neural network may regard as the non-linear ultra large-scale run-on time dynamic system, its final act is decided by attracts. In application aspect of the artificial neural networks, for the associates the memory to storage or the optimization computation of neural network, all had made use of the stabl attract of network system. Therefore, for neural network application basic theory, it is significance extremely to study its dynamics behavior, in particular to determinate stable problem.