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Given a continuous time nonlinear closed loop system, we investigate sampled-data feedback laws for which the trajectories of the sampled-data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as the length of the sampling interval tends to zero. We derive necessary and sufficient conditions for the existence of such sampled-data feedback laws and - in case of existence - provide explicit redesign formulas and algorithms for these controllers.doi:10.15495/epub_ubt_00005578 fatcat:dt7jzzjjufff7erdceklt7fqyu