A class of uncertain linear interval models for which a set based robust simulation can be reduced to few pointwise simulations

Abstract

Set based robust simulation of uncertain models allows us to analyze robustness properties of a system from a time domain perspective. In this work, a well known result from the study of the wrapping effect in the field of validated solution of ODEs is used to characterize a class of interval uncertain models with nominal linear behavior for which a robust simulation can be reduced to two conventional pointwise simulations. As a side effect, this work raises the relevance of the study of the wrapping effect for the time domain study of robustness properties of models.