On the existence of mathematical models for multiterminal RCGammanetworks

It is showrn that the terminal solvability of a multiterminalRLCT \Gammanetwork can be reduced to that of a multiterminalRC \Gammanetwork. To prove the terminal solvability or the existence of a mathematical model for multiterminalRC \Gammanetworks, such networks are considered in the form of two interconnected networksN_{RC}andN_{g}, whereN_{RC}contains resistors, capacitors, and the drivers to be connected at the terminals of the multiterminalRC \Gammanetwork andN_{g}contains only the gyrators in it. An augmented mathematical model forN_{g}is defined. This new characterization ofN_{g}provides us with an easy procedure for the elimination of unwanted network variables. It is also indicated thatRC \Gamma(and thereforeRLCT \Gamma) networks are always terminal solvable, but they may not be completely solvable.