In the analysis of a scalar time series, which lies on an m-dimensional object, a great
number of techniques will start by embedding such a time series in ad-dimensional space …

High gain observers are often used for the real-time estimation of the state of nonlinear
systems. Several design methods are based on normal forms, which are based on …

Lie derivatives are often used in nonlinear control and system theory. In general, these Lie
derivatives are computed symbolically using computer algebra software. Although this …

Zahlreiche regelungstechnisch relevante Entwurfs-und Analysefragestellungen lassen sich
als Entscheidungsprobleme formulieren und mit quantifizierten Ausdrücken darstellen. Um …

Most applications of automatic differentiation concern the field of optimization in the broadest
sense. This means that many applications only need first and second order derivatives. An …

This paper proposes an efficient method to perform structural parameter identifiability
analysis for generator dy-namic models. Automatic differentiation is applied to efficiently …

LIEDRIVERS --- A Toolbox for the Efficient Computation of Lie Derivatives Based on the
Object-Oriented Algorithmic Differentiati Page 1 LIEDRIVERS — A Toolbox for the Efficient …

We consider the observer design problem for nonlinear single output systems. In contrast to
most well-known design procedures the observability matrix may have a rank deficiency …

If an input‐affine single‐input single‐output control system has a well‐defined relative
degree, there exists a (local) change of coordinates transforming the system into the Byrnes …

This contribution discusses a method for approximating the observability canonical form of
nonlinear systems, circumventing the need for extensive symbolic computations. Instead, we …