The relative root-mean-square error of finite-dimensional Koopman Control Family predictors is strictly upper-bounded by the square root of the largest eigenvalue of the newly defined control forward-backward consistency matrix.
Two roads to Koopman operator theory for control: infinite input sequences and operator families,
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Control Forward-Backward Consistency: Quantifying the Accuracy of Koopman Control Family Models
The relative root-mean-square error of finite-dimensional Koopman Control Family predictors is strictly upper-bounded by the square root of the largest eigenvalue of the newly defined control forward-backward consistency matrix.