Interconnection and composition of Dirac structures for Lagrange-Dirac systems

doi:10.1109/CDC.2011.6160480

Interconnection and composition of Dirac structures for Lagrange-Dirac systems

by Henry O Jacobs, Hiroaki Yoshimura

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IEEE Conference on Decision and Control and European Control Conference (2011)

Publisher: IEEE, Pages: 928-933

ISSN: 07431546
ISBN: 9781612847993
DOI: 10.1109/CDC.2011.6160480

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Abstract

There is much known on the port-Hamiltonian theory of interconnection of Dirac structures through shared variables. This interconnection is known as Composition of Dirac structures. In this paper, we will show an alternative interconnection of Dirac structures called Bowtie interconnection in the context of Lagrange-Dirac dynamical systems. In particular, we try to illustrate the following two things: Firstly, how composition of Dirac structures may be used in the Lagrangian theory of LC-circuits. Secondly, how composition of Dirac structures may be linked with bowtie interconnection.