%0 Conference Paper %1 jeltsema2002nonlinear %A Jeltsema, Dimitri %A Scherpen, Jacquellen M. A. %B 15th Triennial World Congress %D 2002 %K 94c05-analytic-circuit-theory port-hamiltonian %T On nonlinear RLC networks: port-controlled hamiltonian systems dualize the Brayton-Moser equations %X In this paper it is shown that the recently proposed port-controlled Hamiltonian systems with dissipation precisely dualize the classical Brayton-Moser equations. As a consequence, useful and important properties of the one framework can be translated to the other. For both frameworks a novel method is proposed to deal with networks containing capacitor-only loops or inductor-only cutsets using the Lagrange multiplier. This leads to the notion of implicit Brayton-Moser equations. Furthermore, the form and existence of the mixed-potential function is rederived from an external port point of view.

@inproceedings{jeltsema2002nonlinear, abstract = {In this paper it is shown that the recently proposed port-controlled Hamiltonian systems with dissipation precisely dualize the classical Brayton-Moser equations. As a consequence, useful and important properties of the one framework can be translated to the other. For both frameworks a novel method is proposed to deal with networks containing capacitor-only loops or inductor-only cutsets using the Lagrange multiplier. This leads to the notion of implicit Brayton-Moser equations. Furthermore, the form and existence of the mixed-potential function is rederived from an external port point of view.}, added-at = {2019-12-06T05:23:55.000+0100}, author = {Jeltsema, Dimitri and Scherpen, Jacquellen M. A.}, biburl = {https://www.bibsonomy.org/bibtex/20e42e13fa938e2de985226c2d6160ea3/gdmcbain}, booktitle = {15th Triennial World Congress}, interhash = {9d6d7bd8817ccdbf3369fcbe8042cc8a}, intrahash = {0e42e13fa938e2de985226c2d6160ea3}, keywords = {94c05-analytic-circuit-theory port-hamiltonian}, organization = {IFAC}, timestamp = {2022-10-04T04:51:15.000+0200}, title = {On nonlinear {RLC} networks: port-controlled hamiltonian systems dualize the Brayton-Moser equations}, venue = {Barcelona}, year = 2002 }