23 citations · 24 across the 2 of their papers we have counts for
6 papers
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…
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…
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…
On the Linearization of Flat Two-Input Systems by Prolongations and Applications to Control Design
Conrad Gstöttner, Bernd Kolar, Markus Schöberl
In this paper we consider -flat nonlinear control systems with two inputs, and show that every such system can be rendered static feedback linearizable by prolongations of a…
System-theoretic Analysis of Nonlinear Infinite-dimensional Systems with Generalized Symmetries
Bernd Kolar, Markus Schöberl
Symmetry groups allow to transform solutions of differential equations continuously into other solutions. This property can be used for the observability analysis of infinite-dimen…
Application of Symmetry Groups to the Observability Analysis of Partial Differential Equations
Bernd Kolar, Hubert Rams, Markus Schöberl
Symmetry groups of PDEs allow to transform solutions continuously into other solutions. In this paper, we use this property for the observability analysis of nonlinear PDEs with in…