Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911222155182080 |
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| author | Xue, Bai |
| author_facet | Xue, Bai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18118 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems Xue, Bai Systems and Control 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. |
| title | Finite-time Safety and Reach-avoid Verification of Stochastic Discrete-time Systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2404.18118 |