Is Lipschitz Continuity Preserved under Sampled-Data Discretization?

2016/12/27 by Masoud Abbaszadeh, Abbaszadeh, Masoud · 2 citations
Engineering · #15A60 #37M99 #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Numerical Analysis (math.NA) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1612.08469

openalex publication_date 2016/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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

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

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