Port-Hamiltonian systems on discrete manifolds
Optimization and Control
2012-01-30 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
This paper offers a geometric framework for modeling port-Hamiltonian systems on discrete manifolds. The simplicial Dirac structure, capturing the topological laws of the system, is defined in terms of primal and dual cochains related by the coboundary operators. This finite-dimensional Dirac structure, as discrete analogue of the canonical Stokes-Dirac structure, allows for the formulation of finite-dimensional port-Hamiltonian systems that emulate the behaviour of the open distributed-parameter systems with Hamiltonian dynamics.
Keywords
Cite
@article{arxiv.1201.5764,
title = {Port-Hamiltonian systems on discrete manifolds},
author = {Marko Seslija and Jacquelien M. A. Scherpen and Arjan van der Schaft},
journal= {arXiv preprint arXiv:1201.5764},
year = {2012}
}
Comments
MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling