On the existence of mathematical models for multiterminal RC networks

It is showrn that the terminal solvability of a multiterminal network can be reduced to that of a multiterminal network. To prove the terminal solvability or the existence of a mathematical model for multiterminal networks, such networks are considered in the form of two interconnected networks and , where contains resistors, capacitors, and the drivers to be connected at the terminals of the multiterminal network and contains only the gyrators in it. An augmented mathematical model for is defined. This new characterization of provides us with an easy procedure for the elimination of unwanted network variables. It is also indicated that (and therefore ) networks are always terminal solvable, but they may not be completely solvable.