DocumentCode
802989
Title
Relating Lagrangian and Hamiltonian formalisms of LC circuits
Author
Clemente-Gallardo, Jesús ; Scherpen, Jacquelien M A
Author_Institution
Dept. de Matematica, Univ. de Coimbra, Portugal
Volume
50
Issue
10
fYear
2003
Firstpage
1359
Lastpage
1363
Abstract
The Lagrangian formalism defined by Scherpen et al. (2000) 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.
Keywords
Lie algebras; network analysis; network topology; switching networks; Hamiltonian formulation; LC circuits; Lagrangian formalism; Lie algebroids; arbitrary LC networks; regular Lagrangians; switching electrical circuits; topologically complete class; Algebra; Control systems; Equations; Lagrangian functions; Switched capacitor networks; Switching circuits; Vectors; Voltage;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/TCSI.2003.817781
Filename
1236549
Link To Document