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Statistical Guarantees in Data-Driven Nonlinear Control: Conformal Robustness for Stability and Safety
arXiv:2506.06228v2 Announce Type: replace Abstract: We present a true-dynamics-agnostic, statistically rigorous framework for establishing exponential stability and safety guarantees of closed-loop, data-driven nonlinear control. Central to our approach is the novel concept of conformal robustness, which robustifies the Lyapunov and zeroing barrier certificates of data-driven dynamical systems against model prediction uncertainties using conformal prediction. It quantifies these...