Reserch Of Stability For A Class Of Neural Networks With Constant Delays

In this paper, the author has discussed the stability for a class of neural networks model with delays. This paper is divided into three chapters:In the first chapter,the author has discussed the global asymptotic stability on the general networks with constant delays. Using Lyapunov functional method and topological degree knowledge, the author has proved the global asymptotic stability on the general networks. Meanwhile, an example is given to illustrate the correctness of the conclusion.In the second chapter, the author has researched the global robust stability on the interval generic networks. Through constructing Lyapunov functional and inequality method, the author gives the sufficient conditions for the global robust stability of the generic networks.In the third chapter, the further research work is prospected and planed.