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math.DS2026

A Structurally Flat Triangular Form for Three-Input Systems

Georg Hartl, Conrad Gstöttner, Markus Schöberl

We present a broadly applicable structurally flat triangular form for x-flat control-affine systems with three inputs. Building on recent results for the derivative structure of fl…

math.DS2026

On the Linearization of Flat Multi-Input Systems via Prolongations

Georg Hartl, Conrad Gstöttner, Markus Schöberl

We examine when differentially flat nonlinear control systems with more than two inputs can be rendered static feedback linearizable by a minimal number of prolongations of suitabl…

math.DS2025

A Flat Triangular Structure Based on a Multi-Chained Form

Georg Hartl, Conrad Gstöttner, Markus Schöberl

Determining whether a nonlinear multi-input system is differentially flat remains challenging. One way to obtain computationally tractable sufficient conditions is to give complete…

math.DS2025

On Triangular Forms for x-Flat Control-Affine Systems With Two Inputs

Georg Hartl, Conrad Gstöttner, Markus Schöberl

This paper examines a broadly applicable triangular normal form for x-flat control-affine systems with two inputs. First, we show that this triangular form encompasses a wide range…

math.DS2024

On the Exact Linearization of Minimally Underactuated Configuration Flat Lagrangian Systems in Generalized State Representation

Georg Hartl, Conrad Gstöttner, Bernd Kolar +1

In this paper, we examine the exact linearization of configuration flat Lagrangian control systems in generalized state representation with p degrees of freedom and p-1 control inp…

math.DS2023

Exact Linearization of Minimally Underactuated Configuration Flat Lagrangian Control Systems by Quasi-Static Feedback of Classical States

Georg Hartl, Conrad Gstöttner, Bernd Kolar +1

We study the exact linearization of configuration flat Lagrangian control systems with p degrees of freedom and p-1 inputs by quasi-static feedback of classical states. First, we p…