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 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 …

The study of resilient control of linear time-invariant (LTI) systems against denial-of-service
(DoS) attacks is gaining popularity in emerging cyber-physical applications. In previous …

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 …

Recently, various algorithms for data-driven simulation and control have been proposed
based on the Willems' fundamental lemma. However, when collected data are noisy, these …

Data-driven control approaches for the minimization of energy consumption of buildings
have the potential to significantly reduce deployment costs and increase the uptake of …

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 …

Roughly speaking, systems and control theory deals with the problem of making a concrete
physical system behave according to certain desired specifications. To achieve this desired …

In this letter, we discuss the problem of optimal control for affine systems in the context of
data-driven linear programming. First, we introduce a unified framework for the fixed point …