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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…

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

Tracking Control for -Flat Systems by Quasi-Static Feedback of Classical States

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

It is well known that for flat systems the tracking control problem can be solved by utilizing a linearizing quasi-static feedback of generalized states. If measurements (or estima…