The fundamental lemma by Jan C. Willems and co-workers is deeply rooted in behavioral
systems theory and it has become one of the supporting pillars of the recent progress on …

Data-driven control based on the fundamental lemma by Willems et al. is frequently
considered for deterministic linear time invariant (LTI) systems subject to measurement …

Data‐driven predictive control based on the fundamental lemma by Willems et al. is
frequently considered for deterministic LTI systems subject to measurement noise. However …

This paper investigates data-driven output-feedback predictive control of linear systems
subject to stochastic disturbances. The scheme relies on the recursive solution of a suitable …

The implementation of data-driven predictive control schemes based on Willems'
fundamental lemma often relies on a single-shooting approach, ie, it uses one large Hankel …

This article describes the manifold relationships dissipativity and optimal control, with a
focus on recent developments. In the early days of dissipativity theory, the questions “how …

In many applications, in systems that are governed by linear hyperbolic partial differential
equations some of the problem parameters are uncertain. If information about the probability …

The fundamental lemma by Jan C. Willems and co-authors enables the representation of all
input-output trajectories of a linear time-invariant system by measured input-output data …

Data-driven Model Predictive Control (MPC) based on the fundamental lemma by Willems et
al. has shown promising results for deterministic LTI systems subject to measurement noise …

We investigate pathwise turnpike behavior of discrete-time stochastic linear-quadratic
optimal control problems. Our analysis is based on a novel strict dissipativity notion for such …