22 citations · 36 across the 26 of their papers we have counts for
32 papers
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…
Long- and short-time behavior of hypocoercive evolution equations with higher index via modal decompositions
Marco Roschkowski, Hannes Gernandt
Hypocoercivity emerged in kinetic transport theory, allowing to derive exponential long-time estimates for evolution equations. Recently, the short-time asymptotics for equations w…
Neural Scaling Laws for Learning-based Identification of Nonlinear Systems
Marco Roschkowski, Karim Cherifi, Hannes Gernandt
The use of machine learning models in system identification has increased due to their ability to approximate complex nonlinear dynamics with high accuracy. However, often it is no…
Two energy methods for distributed port-Hamiltonian systems and their application to stability analysis
Marco Roschkowski, Hannes Gernandt
We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization…
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…
Nonlinear port-Hamiltonian system identification from input-state-output data (ISO-pHNN)
Karim Cherifi, Achraf El Messaoudi, Hannes Gernandt +1
In this paper, we introduce a framework called ISO-pHNN for identifying nonlinear port-Hamiltonian systems using input-state-output data. The framework utilizes neural networks' un…
Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +2
The relationship between different dissipativity concepts for linear time-varying systems is studied, in particular between port-Hamiltonian systems, passive systems, and systems w…
Port-Hamiltonian Modeling and Control of Electric Vehicle Charging Stations
Hannes Gernandt, Bernardo Severino, Xinyi Zhang +2
Electric vehicles (EV) are an important part of future sustainable transportation. The increasing integration of EV charging stations (EVCSs) in the existing power grids require ne…
Port-Hamiltonian structures in infinite-dimensional optimal control: Primal-Dual gradient method and control-by-interconnection
Hannes Gernandt, Manuel Schaller
In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamil…
Linear-quadratic optimal control for abstract differential-algebraic equations
Hannes Gernandt, Timo Reis
In this paper, we extend a classical approach to linear quadratic (LQ) optimal control via Popov operators to abstract linear differential-algebraic equations (ADAEs) in Hilbert sp…
A pseudo-resolvent approach to abstract differential-algebraic equations
Hannes Gernandt, Timo Reis
We study linear abstract differential-algebraic equations (ADAEs), and we introduce an index concept which is based on polynomial growth of a~pseudo-resolvent. Our approach to solv…
A geometric framework for discrete time port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interco…
Feedback rectifiable pairs and stabilization of switched linear systems
Maria C. Honecker, Hannes Gernandt, Kai Wulff +2
We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop subsystems share th…
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structur…
On discrete-time dissipative port-Hamiltonian (descriptor) systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for lin…
Stability and passivity for a class of distributed port-Hamiltonian networks
Hannes Gernandt, Dorothea Hinsen
We consider a class of infinite dimensional (distributed) pH systems which is invariant under Kirchhoff-type interconnections and prove exponential stability and a power balance eq…
The difference between port-Hamiltonian, passive and positive real descriptor systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen
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…
On characteristic invariants of matrix pencils and linear relations
Hannes Gernandt, Francisco Martínez Pería, Friedrich Philipp +1
The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or…