Robust stability of singularly perturbed systems with delays

Abstract

Abstract-We consider in this work stability of singularly perturbed systems with time delays. It is shown that if the boundary layer system is robustly globally asymptotically stable and if the reduced slow system admits a Lyapunov-Razumikhin function, then the singularly perturbed system has certain "practical and semi-global" asymptotic stability property as the parameter of singular perturbation reduces to zero.