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.
On reduction of differential inclusions and Lyapunov stability,
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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.