Previous constructions of Lagrangian mechanics for electric circuits have been found to diverge significantly from the standard Lagrangian mechanics of mechanical systems , . The Lagrangian for a generic L-C circuit is degenerate, which prevents one from invoking the standard Euler-Lagrange equations . Additionally, an interconnection of disconnected circuits places a Kirchhoff current constraint on the simultaneous dynamics of the two systems. This motivates us to develop the concept of interconnection for degenerate Lagrangian systems. Lagrange-Dirac Dynamical Systems (LDDS) have proven to be especially well suited for exactly such difficulties . We provide a brief overview of LDDS following . We then propose a means of interconnecting primitive subsystems by imposing an additional constraint. Finally, we demonstrate the interconnection theory by an example of L-C circuits.
|ジャーナル||AIP Conference Proceedings|
|出版ステータス||Published - 2010 12 1|
|イベント||International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece|
継続期間: 2010 9 19 → 2010 9 25
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