Is Lipschitz Continuity Preserved under Sampled-Data Discretization?
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📡 eess.SY
cs.NAcs.SYmath.DSmath.NA
keywords
continuitydiscretizationlipschitzunderapproximateapproximatingcannotclosed
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Usually, given a continuous-time nonlinear model, a closed form solution for an exact discretization cannot be found explicitly, originating the need of approximating discrete-time models. This note studies the preservation of the Lipschitz continuity under approximate discretizations.
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