Globally Exponential Stability For Hopfield Neural Networks With Delays And Impulsive Perturbations
Adnène Arbi, Chaouki Aouiti, Abderrahmane Touati · Zenodo (CERN European Organization for Nuclear Research) · 2012
In this paper, we consider the global exponential stability of the equilibrium point of Hopfield neural networks with delays and impulsive perturbation. Some new exponential stability criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov functional. Finally, we illustrate two numerical examples showing the effectiveness of our theoretical results.