Existence and global exponential stability of periodic solution for Cohen–Grossberg shunting inhibitory cellular neural networks with delays and impulses

By using Schaeffer's theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several sufficient conditions are obtained for the existence and global exponential stability of periodic solution for impulsive Cohen–Grossberg shunting inhibitory cellular neural networks with delays. The results of this paper are completely new and complement and improve some of the previously known results. An example is employed to illustrate our feasible results.