activity
20202026
most citedHidden regularity in singular optimal control of port-Hamiltonian systems

3 citations · 4 across the 8 of their papers we have counts for

collaborators

9 papers

math.DS2026

Interconnection of port-Hamiltonian systems is not dynamical

Jonas Kirchhoff

The interconnection of port-Hamiltonian systems is usually understood as structure-preserving due to the geometric fact that the composition of the underlying Dirac structures prod…

math-ph2024

Remarks on the geometric structure of port-Hamiltonian systems

Jonas Kirchhoff, Bernhard Maschke

We study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian sy…

math-ph2024★ 1 cited

Generating functions for irreversible Hamiltonian systems

Dan Goreac, Jonas Kirchhoff, Bernhard Maschke

The definition of conservative-irreversible functions is extended to smooth manifolds. The local representation of these functions is studied and reveals that not each conservative…

math.OC2023★ 3 cited

Hidden regularity in singular optimal control of port-Hamiltonian systems

Timm Faulwasser, Jonas Kirchhoff, Volker Mehrmann +3

We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy suppl…

math.DS2023

On the Generating Functions of Irreversible port-Hamiltonian Systems

Jonas Kirchhoff, Bernhard Maschke

We study the geometric structure of the drift dynamics of Irreversible port-Hamiltonian systems. This drift dynamics is defined with respect to a product of quasi-Poisson brackets,…

math.OC2023

Port-Hamiltonian descriptor systems are relative generically controllable and stabilizable

Achim Ilchmann, Jonas Kirchhoff, Manuel Schaller

The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] on relative generic controllability of linear differentia…

math.DS2023

Port maps of Irreversible Port Hamiltonian Systems

Bernhard Maschke, Jonas Kirchhoff

Irreversible Port Hamiltonian Systems are departure of Port Hamiltonian Systems as they are generated not only by a Hamiltonian function but also by an entropy function and defined…

math.DS2021

Linear port-Hamiltonian systems are generically controllable

Jonas Kirchhoff

The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset…

math.OC2020

Linear differential-algebraic systems are generically controllable

Jonas Kirchhoff

In the present work we investigate topological properties of the set of controllable differential-algebraic systems of the form with real ma…