22 citations · 36 across the 26 of their papers we have counts for
7 papers · 1 filter
Block numerical ranges for linear relations
Rabeb Aydi, Hannes Gernandt, Omaima Kchaou +2
Linear relations are multivalued generalizations of linear operators whose spectral properties are closely linked to the stability of differential-algebraic equations. Consequently…
On the Numerical Range of Linear Relations in Banach Spaces
Wissal Boubaker, Hannes Gernandt, Wafa Selmi
This paper is devoted to the study of the numerical range of linear relations in Banach spaces. We present a new definition adapted to the multivalued nature of linear relations an…
Well-posedness and passivity for a class of bilinear control systems
Abdelhakim Dahmani, Hannes Gernandt, René Hosfeld +2
We study an abstract class of bilinear infinite-dimensional systems that arises in various applications, including district heating systems and quantum control. First, we analyze t…
Data-driven feedback rectification of switched linear systems
Philipp Schmitz, Hannes Gernandt, Maria C. Honecker +1
In this paper, a data-driven method for the computation of stabilizing state-feedbacks is proposed that leads to a rectified eigenstructure of switched linear systems. This means t…
Coupling optimization algorithms and monotone control systems: Suboptimal model predictive control as an operator splitting scheme
Till Preuster, Hannes Gernandt, Manuel Schaller
We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to cl…
Stabilization of monotone control systems with input constraints
Till Preuster, Hannes Gernandt, Manuel Schaller
We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constrain…
Optimization-based control by interconnection of nonlinear port-Hamiltonian systems
Till Preuster, Hannes Gernandt, Manuel Schaller
In this paper, we develop a control-by-interconnection approach for the stabilization of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the controller i…