A linear program constructs continuous piecewise affine Lyapunov functions to certify regions of attraction consistent with sparse data and known Lipschitz bounds on unknown nonlinear systems.
Actor–Critic Physics-Informed Neural Lyapunov Control,
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Data-driven approximation of regions of attraction via an LP-based selection of PWA Lyapunov functions
A linear program constructs continuous piecewise affine Lyapunov functions to certify regions of attraction consistent with sparse data and known Lipschitz bounds on unknown nonlinear systems.