Asymptotic characters on Cohen-Grossberg neural networks involving S-type distributed delays

In this paper, we have firstly introduced the S-type distributed delays into the Cohen-Grossberg neural networks since this type of delays may arise in practice and is more general than usual type of distributed delays. To use the topological degree method for providing the existence of the equilibrium point, some new analysis techniques are demonstrated. Moreover by means of simple but efficient Lyapunov functions we have also presented some sufficient conditions to ensure the global exponential stability of those neural networks. Our results, which are easily checked and are more general than those in the existing articles, have significance in neurodynamic theory and engineering applications.