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arXiv · 2512.05348

Comparative Analysis of Barrier-like Function Methods for Reach-Avoid Verification in Stochastic Discrete-Time Systems

Zhipeng Cao·Peixin Wang·Luke Ong·Đorđe Žikelić·Dominik Wagner·Bai Xue
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Abstract

In this paper, we compare several representative barrier-like conditions from the literature for infinite-horizon reach-avoid verification of stochastic discrete-time systems. Our comparison examines both their theoretical properties and computational tractability, highlighting each condition's strengths and limitations that affect applicability and conservativeness. Finally, we illustrate their practical performance through computational experiments using semidefinite programming (SDP) and counterexample-guided inductive synthesis (CEGIS).

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Zhipeng Cao, Peixin Wang, Luke Ong, Đorđe Žikelić, Dominik Wagner, Bai Xue. 2025-12-05. Comparative Analysis of Barrier-like Function Methods for Reach-Avoid Verification in Stochastic Discrete-Time Systems. https://arxiv.org/abs/2512.05348

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