Testing Backward-Flatness of Nonlinear Discrete-Time Systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911434038837248 |
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| author | Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus |
| author_facet | Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus |
| contents | 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 - can be checked in a computationally efficient manner. In this paper, we propose a systematic approach for testing backward-flatness, which is another special case of difference-flatness, and for deriving a corresponding backward-flat output. Additionally, we discuss the relationship between the Jacobian matrices associated with the flat parameterization of backward- and forward-flat systems and illustrate our results by an academic example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08385 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Testing Backward-Flatness of Nonlinear Discrete-Time Systems Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus Optimization and Control 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 - can be checked in a computationally efficient manner. In this paper, we propose a systematic approach for testing backward-flatness, which is another special case of difference-flatness, and for deriving a corresponding backward-flat output. Additionally, we discuss the relationship between the Jacobian matrices associated with the flat parameterization of backward- and forward-flat systems and illustrate our results by an academic example. |
| title | Testing Backward-Flatness of Nonlinear Discrete-Time Systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2602.08385 |