A Koopman observer for nonlinear systems is made stability-certified by mapping its error dynamics to generalized Persidskii systems and solving an LMI for the gain that ensures ISS under model mismatch and noise.
Spectral properties of dynamical systems, model reduction and decompositions,
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Stability-Certified Koopman Observer Design for Nonlinear Systems via Generalized Persidskii Dynamics
A Koopman observer for nonlinear systems is made stability-certified by mapping its error dynamics to generalized Persidskii systems and solving an LMI for the gain that ensures ISS under model mismatch and noise.