A kernel method computes Koopman eigenfunctions that preserve the Jacobian spectrum for Lyapunov-based stability analysis of nonlinear dynamical systems.
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits
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2026 2verdicts
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Koopman operators provide a global linearization of parameterized nonlinear systems with stable equilibria into finite-dimensional linear systems that depend continuously on the parameter.
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RKHS method for computing Koopman-based Lyapunov functions
A kernel method computes Koopman eigenfunctions that preserve the Jacobian spectrum for Lyapunov-based stability analysis of nonlinear dynamical systems.
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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.