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 …

The relation between passive and positive real systems has been extensively studied in the
literature. In this paper, we study their connection to the more recently used notion of port …

Adaptive structures are equipped with sensors and actuators to actively counteract external
loads such as wind. This can significantly reduce resource consumption and emissions …

In this paper, we extend classical approach to linear quadratic (LQ) optimal control via
Popov operators to abstract linear differential-algebraic equations in Hilbert spaces. To …

We study the optimal control problem (OCP) for regular linear differentialalgebraic systems.
To this end, we introduce the input index, which allows, on the one hand, to characterize the …

In the development of linear quadratic regulator (LQR) algorithms, the Riccati equation
approach offers two important characteristics—it is recursive and readily meets the existence …

This work deals with the singular linear quadratic regulator (LQR) problems for systems that
are described by differential-algebraic equations (DAEs). We establish a necessary and …

This paper is concerned with the linear quadratic optimal control problem for impulse
controllable differential algebraic equations on a bounded half open interval. Regarding the …

While model predictive control (MPC) is widely used in the process industry for its ability to
handle constraints and address complex dynamics, its conventional formulations often …

We study model predictive control for singular differential-algebraic equations with higher
index. This is a novelty when compared to the literature where only regular differential …