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 …

We propose a robust data-driven model predictive control (MPC) scheme to control linear
time-invariant systems. The scheme uses an implicit model description based on behavioral …

The use of persistently exciting data has recently been popularized in the context of data-
driven analysis and control. Such data have been used to assess system-theoretic …

We consider the problem of designing robust state-feedback controllers for discrete-time
linear time-invariant systems, based directly on measured data. The proposed design …

We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

We present a framework for systematically combining data of an unknown linear time-
invariant system with prior knowledge on the system matrices or on the uncertainty for robust …

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 …

The vector space of all input-output trajectories of a discrete-time linear time-invariant (LTI)
system is spanned by time-shifts of a single measured trajectory, given that the respective …