activity
20182026
most citedA Trajectory-Based Approach to Discrete-Time Flatness

23 citations · 111 across the 26 of their papers we have counts for

collaborators

28 papers

math.DG2026

Flatness-Based Controller Design for Backward-Flat Systems

Johannes Schrotshamer, Bernd Kolar, Markus Schöberl

This paper addresses the design of flatness-based tracking controllers for backward-flat nonlinear discrete-time systems. First, we show that backward-flat discrete-time systems ca…

math.OC2026

On the Exact Linearization of Multi-Input Discrete-Time Flat Systems

Johannes Schrotshamer, Bernd Kolar, Markus Schöberl

In this contribution, we address the exact linearization of forward- and backward-flat discrete-time nonlinear systems with an arbitrary number of inputs. Building on structural pr…

math.OC2026

Testing Backward-Flatness of Nonlinear Discrete-Time Systems

Johannes Schrotshamer, Bernd Kolar, Markus Schöberl

Despite ongoing research, testing the flatness of discrete-time systems remains a challenging problem. To date, only the property of forward-flatness - a special case of difference…

math.OC2025

Flatness of Two-Input Discrete-Time Systems and their Linearization

Johannes Schrotshamer, Bernd Kolar, Markus Schöberl

In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate ra…

math.OC2024

Duality of Geometric Tests for Forward-Flatness

Johannes Schrotshamer, Bernd Kolar, Markus Schöberl

Recently it has been shown that the property of forward-flatness for discrete-time systems, which is a generalization of static feedback linearizability and a special case of a mor…

math.OC2024★ 1 cited

A Dual Geometric Test for Forward-Flatness

Bernd Kolar, Johannes Schrotshamer, Markus Schöberl

Forward-flatness is a generalization of static feedback linearizability and a special case of a more general flatness concept for discrete-time systems. Recently, it has been shown…