Sufficient and Necessary Smooth Barrier-like Conditions for Continuous-Time Stochastic Reach-Avoid Verification

arXiv:2609.23981 · eess.SY, cs.SY · Submitted 2026-09-21 · Read on arXiv

eess.SY, cs.SY

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Conference on Decision and Control — 5× in this paper
• Hybrid System — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Abstraction — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Refined Barrier Conditions for Finite-Time Safety and Reach-Avoid Guarantees in Stochastic Systems
• On the Construction of Barrier Certificate: A Dynamic Programming Perspective
• DeepSeek-V3 Technical Report

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