activity
20222024
most citedThe difference between port-Hamiltonian, passive and positive real descriptor systems

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2024

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…

math.OC2024

Dissipative energy functionals of passive linear time-varying systems

Riccardo Morandin, Dorothea Hinsen

The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov fun…

math.OC2023

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…

math.OC2023

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…

math.OC2022★ 1 cited

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…

math.DS2022

Towards a modeling class for port-Hamiltonian systems with time-delay

Tobias Breiten, Dorothea Hinsen, Benjamin Unger

The framework of port-Hamiltonian (pH) systems is a powerful and broadly applicable modeling paradigm. In this paper, we extend the scope of pH systems to time-delay systems. Our d…

math.OC2022★ 2 cited

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…