Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems

Bai Xue

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arXiv · 2404.18118

Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems

Bai Xue

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Abstract

This paper studies finite-time safety and reach-avoid verification for stochastic discrete-time dynamical systems. The aim is to ascertain lower and upper bounds of the probability that, within a predefined finite-time horizon, a system starting from an initial state in a safe set will either exit the safe set (safety verification) or reach a target set while remaining within the safe set until the first encounter with the target (reach-avoid verification). We introduce novel barrier-like sufficient conditions for characterizing these bounds, which either complement existing ones or fill gaps. Finally, we demonstrate the efficacy of these conditions on two examples.

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Bai Xue. 2024-04-28. Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems. https://arxiv.org/abs/2404.18118

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