The problem of stability robustness with respect to time-varying perturbations of a given frequency spectrum is studied applying homogeneity framework. The notion of finite-time stability over time intervals of finite length, i.e. short-finite-time stability, is introduced and used for that purpose. The results are applied to analyze the Super-Twisting algorithm behavior under some time-varying perturbations, and to demonstrate some robustness properties of the three-tank system. Some simulation examples illustrate these robustness properties.