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 …

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

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 …

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 …

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 …

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 article presents a robust and kernelized data-enabled predictive control (RoKDeePC)
algorithm to perform model-free optimal control for nonlinear systems using only input and …

Based on the Fundamental Lemma by Willems et al., the entire behaviour of a Linear Time-
Invariant (LTI) system can be characterised by a single data sequence of the system as long …

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 …