DocumentCode
3426829
Title
Interconnection and composition of Dirac structures for Lagrange-Dirac systems
Author
Jacobs, Henry O. ; Yoshimura, Hiroaki
Author_Institution
Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA
fYear
2011
fDate
12-15 Dec. 2011
Firstpage
928
Lastpage
933
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.
Keywords
stochastic processes; Bowtie interconnection; Dirac structure composition; Dirac structure interconnection; LC-circuits; Lagrange-Dirac dynamical system; Lagrangian theory; inductor-capacitor circuits; port-Hamiltonian theory; Capacitors; Equations; Inductors; Integrated circuit interconnections; Manifolds; Oscillators; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location
Orlando, FL
ISSN
0743-1546
Print_ISBN
978-1-61284-800-6
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2011.6160480
Filename
6160480
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