We consider the numerical solution of large-scale symmetric differential matrix Riccati
equations. Under certain hypotheses on the data, reduced order methods have recently …

Balanced truncation (BT) is a model reduction method that uses a coordinate transformation
to retain eigen-directions that are highly observable and reachable. To address realizability …

Squeezing is a crucial resource for quantum information processing and quantum sensing.
In levitated nanomechanics, squeezed states of motion can be generated via temporal …

By computing a feedback control via the linear quadratic regulator (LQR) approach and
simulating a non-linear non-autonomous closed-loop system using this feedback, we …

The concept of turnpike connects the solution of long but finite time horizon optimal control
problems with steady-state optimal controls. A key ingredient of the analysis of turnpike …

In this chapter, we survey recent progress on model predictive and Riccati-based feedback
control of time-dependent PDEs with special emphasis on fluid dynamics. Concerning …

We study financial portfolio optimization in the presence of unknown and uncontrolled
system variables referred to as stochastic factors. Existing work falls into two distinct …

In this thesis, we are interested in approximating, by model order reduction, the solution to
large-scale matrix-or tensor-valued semilinear Ordinary Differential Equations (ODEs) …

Thanks to the availability of more and more high-dimensional data, recent developments in
machine learning (ML) have redefined decision-making in numerous domains. However, the …

We discuss the feedback control problem for a two-dimensional two-phase Stefan problem.
In our approach, we use a sharp interface representation in combination with mesh …