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 …

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 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 provide a theoretical analysis of closed-loop properties of a simple data-
driven model predictive control (MPC) scheme. The formulation does not involve any …

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 …

We present a model predictive control (MPC) scheme to control linear time-invariant systems
using only measured input-output data and no model knowledge. The scheme includes a …

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 …

The closed-loop stability of an optimal policy provided by an Economic Nonlinear Model
Predictive Control (ENMPC) scheme requires the existence of a storage function satisfying …

We consider the problem of computing reachable sets directly from noisy data without a
given system model. Several reachability algorithms are presented for different types of …