Port-Hamiltonian systems on discrete manifolds

Details Port-Hamiltonian systems on discrete manifolds Port-Hamiltonian systems on discrete manifolds

2012-01-27

arxiv.org/abs/1201.5764v1

Mathematics

Optimization and Control

MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling

Scientific paper

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.

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