TY - JOUR
T1 - Relating Lagrangian and Hamiltonian Formalisms of LC Circuits
AU - Clemente-Gallardo, Jesús
AU - Scherpen, Jacquelien M.A.
N1 - Relation: http://www.rug.nl/tbk/onderzoek/onderzoeksinstituten/itm/index
Rights: University of Groningen, Research Institute of Technology and Management
PY - 2003/10/14
Y1 - 2003/10/14
N2 - The Lagrangian formalism earlier defined for (switching) electrical circuits, is adapted to the Lagrangian formalism defined on Lie algebroids. This allows us to define regular Lagrangians and consequently, well-defined Hamiltonian descriptions of arbitrary LC networks. The relation with other Hamiltonian approaches is also analyzed and interpreted.
AB - The Lagrangian formalism earlier defined for (switching) electrical circuits, is adapted to the Lagrangian formalism defined on Lie algebroids. This allows us to define regular Lagrangians and consequently, well-defined Hamiltonian descriptions of arbitrary LC networks. The relation with other Hamiltonian approaches is also analyzed and interpreted.
KW - Lie algebroids
KW - LC circuits
KW - Lagrangian formulation
KW - Hamiltonian formulation
U2 - 10.1109/TCSI.2003.817781
DO - 10.1109/TCSI.2003.817781
M3 - Article
SN - 1057-7122
VL - 50
SP - 1359
EP - 1363
JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
IS - 10
ER -