In a paper by Willems et al., it was shown that persistently exciting data can be used to
represent the input-output behavior of a linear system. Based on this fundamental result, we …

This paper studies several problems related to quadratic matrix inequalities (QMIs), ie,
inequalities in the Loewner order involving quadratic functions of matrix variables. In …

In this article, we propose a new method to obtain feedback controllers of an unknown
dynamical system directly from noisy input/state data. The key ingredient of our design is a …

We address the problem of designing a stabilizing closed-loop control law directly from input
and state measurements collected in an experiment. In the presence of a process …

We consider LTI systems perturbed by parametric uncertainties, modeled as white noise
disturbances. We show how to maximize, via state-feedback control, the smallest norm of the …

In data-driven control, a central question is how to handle noisy data. In this work, we
consider the problem of designing a stabilizing controller for an unknown linear system …

Motivated by the goal of having a building block in the design of direct data-driven
controllers for nonlinear systems, we show how, for an unknown discrete-time bilinear …

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 letter considers the problem of designing state feedback data-driven controllers for
nonlinear continuous-time systems. Specifically, we consider a scenario where the unknown …

We consider the stability analysis and state-feedback stabilization of LTI uncertain sampled-
data systems. There are two sources of uncertainty: the plant's parameters can be uncertain …