Koopman operators provide a global linearization of parameterized nonlinear systems with stable equilibria into finite-dimensional linear systems that depend continuously on the parameter.
Koop- man invariant subspaces and finite linear representations of nonlinear dynamical systems for control,
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Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
Koopman operators provide a global linearization of parameterized nonlinear systems with stable equilibria into finite-dimensional linear systems that depend continuously on the parameter.