Is Lipschitz Continuity Preserved under Sampled-Data Discretization?

Abstract

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.

Cited by in corpus (2)

• Nonlinear Robust Filtering of Sampled-Data Dynamical Systems
• Computer Algebra Methods in Control Systems