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Reachability of Koopman Linearized Systems Using Random Fourier Feature Observables and Polynomial Zonotope Refinement

Stanley Bak, Sergiy Bogomolov, Brandon Hencey, Niklas Kochdumper, Ethan Lew, Kostiantyn Potomkin

Abstract Koopman operator linearization approximates nonlinear systems of differential equations with higher-dimensional linear systems. For formal verification using reachability analysis, this is an attractive conversion, as highly scalable methods exist to compute reachable se…