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A Sampling Theorem for Exact Identification of Continuous-time Nonlinear Dynamical Systems

A Sampling Theorem for Exact Identification of Continuous-time Nonlinear Dynamical Systems

Low sampling frequency challenges the exact identification of continuous-time (CT) dynamical systems from sampled data, even when its model is identifiable. A necessary and sufficient condition is proposed– which is built from Koopman operator– to the exact identification of the CT system from sampled data. This condition gives a Nyquist-Shannon-like …