A data-driven policy iteration framework using Yosida-based Koopman generator identification with control-affine observables yields stabilizing optimal controllers for unknown systems up to 9 dimensions, with small cost error versus a known-dynamics oracle.
Approximate solutions to the time-invariant H amilton-- J acobi-- B ellman equation
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Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator
A data-driven policy iteration framework using Yosida-based Koopman generator identification with control-affine observables yields stabilizing optimal controllers for unknown systems up to 9 dimensions, with small cost error versus a known-dynamics oracle.