Title: Robustness Analysis of Systems' Safety through a New Notion of Input-to-State Safety,
Abstract: In this paper, we propose a new robustness notion that is applicable for
certifying systems' safety with respect to external disturbance signals. The
proposed input-to-state safety (ISSf) notion allows us to certify systems'
safety in the presence of the disturbances which is analogous to the notion of
input-to-state stability (ISS) for analyzing systems' stability.