The behavioral approach to systems theory, put forward 40 years ago by Jan C. Willems,
takes a representation-free perspective of a dynamical system as a set of trajectories. Till …

The development of control methods based on data has seen a surge of interest in recent
years. When applying data-driven controllers in real-world applications, providing theoretical …

In this article, we present a novel data-driven model predictive control (MPC) approach to
control unknown nonlinear systems using only measured input–output data with closed-loop …

This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …

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 …

Behavioral systems theory decouples the behavior of a system from its representation. A key
result is that, under a persistency of excitation condition, the image of a Hankel matrix …

In this letter we investigate data-driven predictive control of discrete-time linear descriptor
systems. Specifically, we give a tailored variant of Willems' fundamental lemma, which …

This letter synthesizes a gain-scheduled controller to stabilize all possible Linear Parameter-
Varying (LPV) plants that are consistent with measured input/state data records. Inspired by …

This letter develops a method to learn optimal controls from data for bilinear systems without
a priori knowledge of the dynamics. Given an unknown bilinear system, we characterize …

In this paper, a method to represent every input-output trajectory of a continuous-time linear
system in terms of previously collected data is presented. This corresponds to a continuous …