Stability analysis for a class of impulsive high-order Hopfield neural networks with leakage time-varying delays

Abstract

This work considers the existence, the uniqueness, and the global exponential stability, the uniform asymptotic stability, the global asymptotic stability and the uniform stability, of a class of impulsive high-order Hopfield neural networks with distributed delays and leakage time-varying delays. The existence of a unique equilibrium point is proved by using contraction mapping principle theorem. By finding suitable Lyapunov–Krasovskii functional, some sufficient conditions are derived ensuring same kinds of stability. Finally, we analyze some numerical examples proving the efficiency of our theoretical results.