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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…
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…
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…
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…
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…