Duality of Geometric Tests for Forward-Flatness
arXiv:2408.11143 · doi:10.1016/j.ifacol.2025.11.047
Abstract
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 more general concept of flatness, can be checked by two different geometric tests. One is based on unique sequences of involutive distributions, while the other is based on a unique sequence of integrable codistributions. In this paper, the relation between these sequences is discussed and it is shown that the tests are in fact dual. The presented results are illustrated by an academic example.
References in corpus (6)
- Necessary and Sufficient Conditions for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback
- A Trajectory-Based Approach to Discrete-Time Flatness
- Necessary and Sufficient Conditions for Difference Flatness
- Differential-Geometric Decomposition of Flat Nonlinear Discrete-Time Systems
- Flatness Analysis for the Sampled-data Model of a Single Mast Stacker Crane
- A Dual Geometric Test for Forward-Flatness