Barrier Certificates for Unknown Systems with Latent States and Polynomial Dynamics using Bayesian Inference
arXiv:2504.01807v3 Announce Type: replace-cross Abstract: Certifying safety in dynamical systems is crucial, but barrier certificates – widely used to verify that system trajectories remain within a safe region – typically require explicit system models. When dynamics are unknown, data-driven methods can be used instead, yet obtaining a valid certificate requires rigorous uncertainty quantification. For this purpose, existing methods usually rely on full-state measurements, limiting their applicability. This paper proposes a novel approach for synthesizing barrier certificates for unknown […]