Existence and stability of periodic solutions of discrete-time Cohen–Grossberg neural networks with delays and impulses

In this paper, a class of discrete-time Cohen–Grossberg neural networks with delays and impulses is investigated. First, the existence of periodic solution for the addressed neural networks is proposed by applying Mawhin׳s continuation theorem. Besides, some sufficient conditions are given to guarantee global stability of periodic solution by using Lyapunov functional method and some analysis techniques. Finally, an example with numerical simulation is given to demonstrate the effectiveness of the obtained results.