Presents necessary differential geometric conditions on vector fields for Koopman linearizability of control-affine systems, shown sufficient for weaker versions and necessary and sufficient with one extra condition for controllable linear targets.
Time-to-reach bounds for verification of dynamical systems using the koopman spectrum,
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Differential Geometric Conditions for Koopman Linearizability of Control-Affine Systems
Presents necessary differential geometric conditions on vector fields for Koopman linearizability of control-affine systems, shown sufficient for weaker versions and necessary and sufficient with one extra condition for controllable linear targets.