Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Kirchhoff, Jonas"'
Autor:
Kirchhoff, Jonas
We give insight in the structure of port-Hamiltonian systems as control systems in between two closed Hamiltonian systems. Using the language of category theory, we identify systems with their behavioural representation and view a port-control struct
Externí odkaz:
http://arxiv.org/abs/2406.01303
Autor:
Kirchhoff, Jonas, Maschke, Bernhard
We study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian systems, the geometric structure of port-Hamiltonian systems must be "in
Externí odkaz:
http://arxiv.org/abs/2406.01036
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-irreversible function is given by the weighted product of almost Pois
Externí odkaz:
http://arxiv.org/abs/2404.04092
Autor:
Faulwasser, Timm, Kirchhoff, Jonas, Mehrmann, Volker, Philipp, Friedrich, Schaller, Manuel, Worthmann, Karl
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 supply is intrinsic to the port-Hamiltonian structure, the necessary condit
Externí odkaz:
http://arxiv.org/abs/2305.03790
Autor:
Maschke, Bernhard, Kirchhoff, Jonas
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 with respect to a quasi-Poisson bracket which embeds the definition o
Externí odkaz:
http://arxiv.org/abs/2302.09026
Autor:
Kirchhoff, Jonas, Maschke, Bernhard
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, reflecting the interconnection structure and the constitutive relatio
Externí odkaz:
http://arxiv.org/abs/2302.09023
The present work is a successor of [Ilchmann, Kirchhoff 2022] on generic controllability and of [Ilchmann, Kirchhoff 2023] on relative generic controllability of linear differential-algebraic equations. We extend the result from general, unstructured
Externí odkaz:
http://arxiv.org/abs/2302.05156
Autor:
Kirchhoff, Jonas
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 of the set of all linear finite-dimensional port-Hamiltonian systems.
Externí odkaz:
http://arxiv.org/abs/2104.02111
Autor:
Kirchhoff, Jonas
In the present work we investigate topological properties of the set of controllable differential-algebraic systems of the form $\tfrac{\text{d}}{\text{d}t}Ex = Ax+Bu$ with real matrices $E,A\in\mathbb{R}^{\ell\times n}$ and $B\in\mathbb{R}^{\ell\tim
Externí odkaz:
http://arxiv.org/abs/2010.09405
Autor:
Ilchmann, Achim1 (AUTHOR) achim.ilchmann@tu-ilmenau.de, Kirchhoff, Jonas1 (AUTHOR)
Publikováno v:
Mathematics of Control, Signals & Systems. Dec2023, Vol. 35 Issue 4, p951-955. 5p.