Pth moment exponential input-to-state stability of non-autonomous delayed Cohen–Grossberg neural networks with Markovian switching

Abstract This paper is corned with the p th moment exponential input-to-state stability for non-autonomous delayed Cohen–Grossberg neural networks with Markovian switching. By the generalized Ito’s formula and some analysis technique on time-varying coefficients, a vector non-autonomous Halanay inequality is established. With the aid of the novel Halanay inequality, sufficient criteria on p th moment exponential input-to-state stability for non-autonomous delayed Cohen–Grossberg neural networks with Markovian switching is derived. A numerical example is provided to demonstrate feasibility and validity.