3 papers
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.OC2025
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…