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20182026
most citedA Trajectory-Based Approach to Discrete-Time Flatness

23 citations · 111 across the 26 of their papers we have counts for

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Showing 2020Show all

7 papers · 1 filter

math.DG2020★ 23 cited

A Trajectory-Based Approach to Discrete-Time Flatness

Johannes Diwold, Bernd Kolar, Markus Schöberl

For discrete-time systems, flatness is usually defined by replacing the time-derivatives of the well-known continuous-time definition by forward-shifts. With this definition, the c…

math.DS2020★ 3 cited

A Finite Test for the Linearizability of Two-Input Systems by a Two-Dimensional Endogenous Dynamic Feedback

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

We propose an algorithmic test to check whether a two-input system is linearizable by an endogenous dynamic feedback with a dimension of at most two. This test furthermore provides…

math.DS2020★ 12 cited

A Structurally Flat Triangular Form Based on the Extended Chained Form

Conrad Gstöttner, Bernd Kolar, Markus Schöberl

In this paper, we present a structurally flat triangular form which is based on the extended chained form. We provide a complete geometric characterization of the proposed triangul…

math.OC2020

Linearized Controllability Analysis of Semilinear Partial Differential Equations

Bernd Kolar, Markus Schöberl

It is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classica…

math.OC2020★ 7 cited

Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

Tobias Malzer, Hubert Rams, Bernd Kolar +1

In this paper, the behaviour of the observer error of an in-domain actuated vibrating string, where the observer system has been designed based on energy considerations exploiting…

math.DS2020★ 3 cited

A Normal Form for Two-Input Flat Nonlinear Discrete-Time Systems

Johannes Diwold, Bernd Kolar, Markus Schöberl

We show that every flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form…