# Robustness Analysis of Systems' Safety through a New Notion of Input-to-State Safety

## TL;DR

This paper introduces a new robustness concept called input-to-state safety (ISSf) that certifies system safety under external disturbances, extending the input-to-state stability framework to safety analysis.

## Contribution

The paper proposes the input-to-state safety (ISSf) notion, a novel robustness measure for safety certification in disturbed systems, bridging safety analysis with stability concepts.

## Key findings

- ISSf provides a systematic way to certify safety under disturbances
- The notion extends input-to-state stability to safety guarantees
- Framework applicable to various safety-critical systems

## 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.