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Data-driven approximation of regions of attraction via an LP-based selection of PWA Lyapunov functions

Khattabi, Oumayma et al.
arXiv (All) · Papers
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optimization-and-controlsystems-and-control
This paper presents a method to approximate regions of attraction of unknown nonlinear dynamical systems from data. Assuming point-wise evaluations of the vector field and known Lipschitz bounds, a polyhedral uncertainty set of admissible dynamics is constructed. This uncertainty description enables
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