arXiv Machine Learning By Gabriel Chenevert, Jingqi Li, Achyuta kannan, Sangjae Bae, Donggun Lee

Deep Reinforcement Learning for Reach-Avoid-Stay Problems

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The paper introduces a two‑step deep reinforcement learning framework for Reach‑Avoid‑Stay (RAS) problems, aiming to compute the maximal robust RAS set and its control policy for general dynamic systems. First, it learns the maximal robust control‑invariant set inside the target and a policy to keep the system within it. Then it uses this invariant set as a target to compute the maximal robust reach‑avoid set, proving equivalence to the maximal robust RAS set and constructing a switching policy that guarantees task completion. Simulation results show the method achieves exact maximal RAS sets without training errors and outperforms baseline approaches in accuracy and performance.

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