A note on the robustness of input-to-state stability

Abstract

A unified framework was developed for studying robustness of the input-to-state stability (ISS) property. The results on robustness of ISS to slowly-varying parameters, to rapidly varying signals, and to generalized singular perturbations were presented. The results showed if the boundary layers and averaged systems were ISS then the ISS bounds hold for the actual system with an offset that converged to zero with the parameter that characterized the separation of time-scales.