Two-terminal RC networks and theoretically related topics

A derivation is given of the properties of the principal minors of successive orders of the nodal determinant of a lumped linear RC network, with particular reference to the question of multiple zeros of the various minors. The remainder of the paper is devoted to the study of a certain continued-fraction expansion which is shown to be of particular use in connection with 2-terminal RC networks, stability and related problems; new canonical forms for a Hurwitz polynomial are derived with its aid. Determinantal expressions for the continued-fraction coefficients are used to obtain some new forms of the stability criteria.