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
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.817781
