Zobrazeno 1 - 10
of 256
pro vyhledávání: '"Maschke, Bernhard"'
We investigate the existence of solutions of reversible and irreversible port-Hamiltonian systems. To this end, we utilize the associated exergy, a function that is composed of the system's Hamiltonian and entropy, to prove global existence in time f
Externí odkaz:
http://arxiv.org/abs/2410.18888
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
We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external variables. The new pair of conjugated variables is called energy port.
Externí odkaz:
http://arxiv.org/abs/2405.01241
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
We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamiltonian operators and nonlinear Hamiltonian density. In various applicati
Externí odkaz:
http://arxiv.org/abs/2401.15096
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-tim
Externí odkaz:
http://arxiv.org/abs/2306.08914
In this paper we extend the previously introduced class of boundary port-Hamiltonian systems to boundary control systems where the variational derivative of the Hamiltonian functional is replaced by a pair of reciprocal differential operators. In phy
Externí odkaz:
http://arxiv.org/abs/2305.13772
In this paper we introduce discrete gradient methods to discretize irreversible port-Hamiltonian systems showing that the main qualitative properties of the continuous system are preserved using this kind discretizations methods.
Comment: 8 page
Comment: 8 page
Externí odkaz:
http://arxiv.org/abs/2303.08034
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