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Some notes on port-Hamiltonian systems on Banach spaces

We consider port-Hamiltonian systems from a functional analytic perspective. Dirac structures and Hamiltonians on Banach spaces are introduced, and an energy balance is proven. Further, we consider port-Hamiltonian systems on Banach manifolds, and we present some physical examples that fit into the presented theory.

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Conference:
IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNC); 7 (Berlin) : 2021.10.11-13
Published in:
IFAC-PapersOnLine
Vol. 54, No. 19 (19.11.2021), p. 223-229
Volume:
54
No.:
19
Date Created:
14.02.2022
Date Issued:
19.11.2021
DOI:
10.1016/j.ifacol.2021.11.082
PPN:
1779767897
Language:
English
Type of Resource:
Text
Extent:
7 Seiten
DDC subject of DNB:
510 Mathematics
Hosting institution:
Technische Universität Ilmenau, Fakultät für Mathematik und Naturwissenschaften

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