A norm-preserving GSVD construction converts non-affine nonlinear control inputs into an LTI-like Koopman form with constant A and B, delivering computable H∞ certificates in the original input norm for reduced models of high-dimensional nonlinear systems.
An svd-like decomposition of bounded-input bounded-output functions
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Gramians for a New Class of Nonlinear Control Systems Using Koopman and a Novel Generalized SVD
A norm-preserving GSVD construction converts non-affine nonlinear control inputs into an LTI-like Koopman form with constant A and B, delivering computable H∞ certificates in the original input norm for reduced models of high-dimensional nonlinear systems.