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Image Credit: Arxiv

Two-Stage Learning of Stabilizing Neural Controllers via Zubov Sampling and Iterative Domain Expansion

  • A new two-stage training framework is proposed for synthesizing neural controllers and Lyapunov function for continuous-time systems.
  • The framework utilizes a Zubov-inspired region of attraction characterization to estimate stability boundaries, reducing conservatism in training.
  • State-of-the-art neural network verifier is extended for automatic bound propagation and a novel verification scheme to avoid expensive bisection.
  • Experimental results show significant improvement in region of attractions and faster verification compared to traditional methods.

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