This paper gives an overview of recent developments in set-theoretic methods for nonlinear
systems, with a particular focus on the activities in our own research group. Central to these …

Background Mathematical modeling and analysis have become, for the study of biological
and cellular processes, an important complement to experimental research. However, the …

One of the most challenging tasks in systems biology is parameter identification from
experimental data. In particular, if the available data are noisy, the resulting parameter …

This work introduces a unified framework for model invalidation and parameter estimation
for nonlinear systems. We consider a model given by implicit nonlinear difference equations …

This brief introduces a novel safety-preserving control scheme with minimal conservatism for
uncertain systems. We have recently introduced the model-invariant safety verification …

The increase in complexity in process control goes along with an increasing need for
complete and guaranteed fault diagnosis. In this contribution, we propose a set-based …

Employing viability techniques to preserve safety in safety-critical control applications has
recently attracted much attention. The techniques rely on a conservative approximation of …

Analysis and safety considerations of chemical and biological processes require complete
knowledge of the set of all feasible steady states. Nonlinearities, uncertain parameters, and …

The analysis and control of nonlinear systems often require information about the location of
their equilibrium points. This paper addresses the problem of estimating the set of …

Current approaches to parameter estimation and model invalidation are often inappropriate
for biochemical reaction networks. This is because often only noisy measurements and …