Global Exponential Stability of Delayed Cohen-Grossberg Neural Networks: A New Approach via Halanay Inequality and Bellman Inequality

In this paper,the problem of global exponential stability (GES) are further discussed for a class of the delayed neural network with time-varying delays. On the basis of the linear matrix inequality optimization approach, and also the Lyapunov-Krasovskii functional method combined with the Halanay inequality and Bellman inequality technique, several new sufficient criteria are given for ascertaining the GES of the equilibrium for this system. The proposed results are less restrictive than those given in the earlier literature, and are easier to verify in practice.