Relating lagrangian and hamiltonian formalisms of LC circuits

J. Clemente-Gallardo, J.M.A. Scherpen
2003 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
The Lagrangian formalism defined by Scherpen et al.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.
doi:10.1109/tcsi.2003.817781 fatcat:my7ocvlnlzenfbjuomronsw53q