Global exponential stability and existence of anti-periodic solutions to impulsive Cohen-Grossberg neural networks on time scales

Abstract

By using the method of coincidence degree theory and Lyapunovfunctions, some new criteria are established for the existence andglobal exponential stability of anti-periodic solutions to impulsiveCohen-Grossberg neural networks on time scales. Our results are neweven if the time scale $\mathbb{T}=\mathbb{R}$ or $\mathbb{Z}$.Finally, an example is given to illustrate our results.