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
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;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160480
