On Global Exponential Stability Preservation under Sampling for Globally Lipschitz Delay-Free and Retarded Systems

The paper shows that the global exponential stability property is preserved, under suitable fast sampling, whenever the dynamics of the system at hand is described by globally Lipschitz functions. The Halanay’s inequality is used in order to prove this result. Both fully nonlinear delay-free and fully nonlinear retarded systems are investigated.