English

A Triangular Normal Form for x-Flat Control-Affine Two-Input Systems

Dynamical Systems 2024-11-05 v1 Optimization and Control

Abstract

This paper is devoted to normal forms for x-flat control-affine systems with two inputs. We propose a general triangular normal form which contains several other normal forms discussed in the literature as special cases. We derive conditions under which a system with given x-flat output can be transformed into the proposed triangular form. Based on the triangular form we motivate a simple algorithm for identifying candidates for flat outputs.

Keywords

Cite

@article{arxiv.2403.15592,
  title  = {A Triangular Normal Form for x-Flat Control-Affine Two-Input Systems},
  author = {Conrad Gstöttner and Bernd Kolar and Markus Schöberl},
  journal= {arXiv preprint arXiv:2403.15592},
  year   = {2024}
}
R2 v1 2026-06-28T15:30:38.307Z