Energy-conserving formulation of RLC-circuits with linear resistors
D. Eberard, B. Maschke, и A. van der Schaft. Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, 1636734 (P, стр. 71--76. Delft, TUD Press, (2006)
Аннотация
In this paper firstly, the dynamics of LC-circuits
without excess elements is expressed in terms of contact
systems encompassing in a single formulation the Hamiltonian formulation and the pseudo-gradient formulation called
the Brayton-Moser equations. Indeed the contact formulation
encompasses both the Hamiltonian system and its the adjoint
variational system. Secondly we express the dynamics of
RLC-circuits with linear resistors in the contact formalism
by extending the state space to an associated space of
Thermodynamic phase which again encompasses as well the Hamiltonian formulation with dissipation as the Brayton-Moser formulation.
%0 Conference Paper
%1 eberard2006energyconserving
%A Eberard, D.
%A Maschke, B. M.
%A van der Schaft, Arjan
%B Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
%C Delft
%D 2006
%E Yamamoto, Y.
%I TUD Press
%K 94c05-analytic-circuit-theory
%N 1636734 (P
%P 71--76
%T Energy-conserving formulation of RLC-circuits with linear resistors
%X In this paper firstly, the dynamics of LC-circuits
without excess elements is expressed in terms of contact
systems encompassing in a single formulation the Hamiltonian formulation and the pseudo-gradient formulation called
the Brayton-Moser equations. Indeed the contact formulation
encompasses both the Hamiltonian system and its the adjoint
variational system. Secondly we express the dynamics of
RLC-circuits with linear resistors in the contact formalism
by extending the state space to an associated space of
Thermodynamic phase which again encompasses as well the Hamiltonian formulation with dissipation as the Brayton-Moser formulation.
@inproceedings{eberard2006energyconserving,
abstract = {In this paper firstly, the dynamics of LC-circuits
without excess elements is expressed in terms of contact
systems encompassing in a single formulation the Hamiltonian formulation and the pseudo-gradient formulation called
the Brayton-Moser equations. Indeed the contact formulation
encompasses both the Hamiltonian system and its the adjoint
variational system. Secondly we express the dynamics of
RLC-circuits with linear resistors in the contact formalism
by extending the state space to an associated space of
Thermodynamic phase which again encompasses as well the Hamiltonian formulation with dissipation as the Brayton-Moser formulation.},
added-at = {2019-12-05T03:41:23.000+0100},
address = {Delft},
author = {Eberard, D. and Maschke, B. M. and van der Schaft, Arjan},
biburl = {https://www.bibsonomy.org/bibtex/21b3fc29d15a5703e65305267ec7e96d6/gdmcbain},
booktitle = {Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems},
editor = {Yamamoto, Y.},
interhash = {8fe679dbd7ba77164e0d78a82a594169},
intrahash = {1b3fc29d15a5703e65305267ec7e96d6},
keywords = {94c05-analytic-circuit-theory},
number = {1636734 (P},
pages = {71--76},
publisher = {TUD Press},
timestamp = {2019-12-05T03:41:23.000+0100},
title = {Energy-conserving formulation of RLC-circuits with linear resistors},
year = 2006
}