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Mathematics > Dynamical Systems

arXiv:1804.04064 (math)
[Submitted on 11 Apr 2018 (v1), last revised 11 Nov 2018 (this version, v4)]

Title:Open physical systems: from GENERIC to port-Hamiltonian systems

Authors:A. Moses Badlyan, B. Maschke, C. Beattie, V. Mehrmann
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Abstract:Formulations of open physical systems within the framework of Non-Equilibrium Reversible/Irreversible Coupling (associated with the acronym "GENERIC") is related in this work with state-space realizations that are given as boundary port-Hamiltonian systems. This reformulation is carried out explicitly by splitting the dynamics of the system into a reversible contribution given by a Poisson bracket and an irreversible contribution given by a symmetric dissipation bracket, and is facilitated by the introduction of an exergy-like potential.
Comments: Slightly updated version of an accepted contribution to the 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018)
Subjects: Dynamical Systems (math.DS)
MSC classes: 35Q35, 37K05, 37L99
Cite as: arXiv:1804.04064 [math.DS]
  (or arXiv:1804.04064v4 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.04064

Submission history

From: Arbi Moses Badlyan [view email]
[v1] Wed, 11 Apr 2018 15:58:21 UTC (19 KB)
[v2] Tue, 21 Aug 2018 17:03:51 UTC (19 KB)
[v3] Tue, 25 Sep 2018 23:09:09 UTC (18 KB)
[v4] Sun, 11 Nov 2018 18:15:16 UTC (19 KB)
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