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% Verbal description for system aRC (aRC_desc.tex)
% Generated by MTT on Sun Aug 24 11:03:55 BST 1997.
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1 2000/12/28 17:02:29 peterg
% %% To RCS
% %%
% %% Revision 1.1 1997/08/24 10:27:18 peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The acausal bond graph of system \textbf{aRC} is
displayed in Figure \Ref{aRC_abg} and its label
file is listed in Section \Ref{sec:aRC_lbl}.
The subsystems are listed in Section \Ref{sec:aRC_sub}.
The system \textbf{aRC} is the simple electrical aRC ciaRCuit shown in
The system \textbf{aRC} is the simple electrical rc circuit shown in
Figure \Ref{aRC_abg}. It can be regarded as a single-input
single-output system with input $e_1$ and output $e_2$.
The two resistors ($r_1$ and $r_2$) are in series; this give an
undercausal system with a corresponding algebraic loop. The loop is
broken by adding the {\bf SS} component ``loop'' to localise the
algabraic equation to choosinf the corresponding flow such that the
algabraic equation byh choosing the corresponding flow such that the
corresponding effort is zero. This algebraic equation appears in
Section \Ref{sec:aRC_dae.tex}.
Section \Ref{sec:aRC_dae-noargs.tex}.
This loop is algbraicly solved to give the ordinary differential
equation of Section \Ref{sec:aRC_ode.tex} and the transfer function of
Section \Ref{sec:aRC_tf.tex}.
equation of Section \Ref{sec:aRC_ode-A.tex} and the transfer function of
Section \Ref{sec:aRC_tf-A.tex}.
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