On the interconnection structures of discretized port Hamiltonian systems
Authors
D. Eberard, B.M. Maschke, A.J. van der Schaft
Abstract
For numerical simulation and control design purposes, a mixed‐finite element method [3] preserving the port Hamiltonian structure of the system has been developed [2]. This method was successfully applied for 1D systems. In this paper, we shall suggest some generalization of this result to higher dimensional spatial domain (3D) using Whitney forms as Galerkin base. The discretization procedure is illustrated on Maxwell’s equations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Citation
- Journal: PAMM
- Year: 2007
- Volume: 7
- Issue: 1
- Pages: 3030005–3030006
- Publisher: Wiley
- DOI: 10.1002/pamm.200700422
BibTeX
@article{Eberard_2007,
title={{On the interconnection structures of discretized port Hamiltonian systems}},
volume={7},
ISSN={1617-7061},
DOI={10.1002/pamm.200700422},
number={1},
journal={PAMM},
publisher={Wiley},
author={Eberard, D. and Maschke, B.M. and van der Schaft, A.J.},
year={2007},
pages={3030005--3030006}
}
References
- van der Schaft, A. J. & Maschke, B. M. Hamiltonian formulation of distributed-parameter systems with boundary energy flow. Journal of Geometry and Physics 42, 166–194 (2002) – 10.1016/s0393-0440(01)00083-3
- Golo, G., Talasila, V., van der Schaft, A. & Maschke, B. Hamiltonian discretization of boundary control systems. Automatica 40, 757–771 (2004) – 10.1016/j.automatica.2003.12.017
- Bossavit A., IEE Proc. (1988)