Global exponential stability of high-order Hopfield-type neural networks with S-type distributed time delays

This paper studies the problems of global exponential stability of high-order Hopfield-type neural networks with s-type distributed time delays. By using the topological degree theory and differential inequality technique, we prove existence of the equilibrium point and global existence of the solutions. We obtain some sufficient conditions on global exponential stability in terms of intercept equation, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.