Computation of higher order Lie derivatives on the Infinity Computer

F Iavernaro, F Mazzia, MS Mukhametzhanov… - … of Computational and …, 2021 - Elsevier
In this paper, we deal with the computation of Lie derivatives, which are required, for
example, in some numerical methods for the solution of differential equations. One common …

[HTML][HTML] Sensor fusion based on Extended and Unscented Kalman Filter for bioprocess monitoring

A Tuveri, F Perez-Garcia, PA Lira-Parada… - Journal of process …, 2021 - Elsevier
Availability of measurements of key process variables is of great importance to allow real
time monitoring and control applications. However, in microbial fermentation processes, the …

On global and local observability of nonlinear polynomial systems: A decidable criterion

D Gerbet, K Röbenack - at-Automatisierungstechnik, 2020 - degruyter.com
It is very difficult to check the observability of nonlinear systems. Even for local observability,
the observability rank condition provides only a sufficient condition. Much more difficult is the …

Collaborative safe formation control for coupled multi-agent systems

BA Butler, CH Leung, PE Paré - 2024 European Control …, 2024 - ieeexplore.ieee.org
The safe control of multi-robot swarms is a challenging and active field of research, where
common goals include maintaining group cohesion while simultaneously avoiding obstacles …

Distributed Collaborative Safety-Critical Control for Networked Dynamic Systems

BA Butler, PE Paré - arXiv preprint arXiv:2310.03289, 2023 - arxiv.org
As modern systems become ever more connected with complex dynamic coupling
relationships, the development of safe control methods for such networked systems …

Manifold calculus in system theory and control—Second order structures and systems

S Fiori - Symmetry, 2022 - mdpi.com
The present tutorial paper constitutes the second of a series of tutorials on manifold calculus
with applications in system theory and control. The aim of the present tutorial, in particular, is …

Formal verification of local and global observability of polynomial systems using quantifier elimination

K Röbenack, R Voßwinkel - 2019 23rd International …, 2019 - ieeexplore.ieee.org
In this contribution we investigate local and global observability of multi-variable polynomial
systems. Nonlinear observability is based on the concept of indistinguishability, for which we …

Distributed adaptive high‐gain extended Kalman filtering for nonlinear systems

M Rashedi, J Liu, B Huang - International Journal of Robust …, 2017 - Wiley Online Library
In this work, we propose a distributed adaptive high‐gain extended Kalman filtering
approach for nonlinear systems. Specifically, we consider a class of nonlinear systems that …

Toward state estimation by high gain differentiators with automatic differentiation

K Röbenack, D Gerbet - Optimization Methods and Software, 2024 - Taylor & Francis
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 …

An Algebraic Approach to Identifiability

D Gerbet, K Röbenack - Algorithms, 2021 - mdpi.com
This paper addresses the problem of identifiability of nonlinear polynomial state-space
systems. Such systems have already been studied via the input-output equations, a …