Functional-matrix theory for the general linear electrical network. Part 1: The linear functional matrix

Abstract

A detailed analysis is given of a method for the derivation of an independent set of first-order differential equations which completely specify the behaviour of the general, linear, constant-coefficient electrical network. From this set of equations, a linear-functional matrix is obtained which determines a complete set of linear functional of the free motion of any set of network variables. The effect of scaling operations on the equation set is considered, and examples are given of the first-order equation set for several networks.