Electrical analogs of linear systems

THIS article is concerned with the problem of representing linear vibrating systems in terms of electric circuits. In standard works, it is shown that a system of linear differential equations with constant coefficients can be reduced to a triangular system by use of a system of multipliers with a constant determinant. The use of a transformation of this type can result in considerable simplification. It is possible to alter the essential type of coupling appearing between loops of the electrical analog circuits by this means. This transformation is particularly valuable since it does not alter the dependent or independent variables, and introduces only rational functions of the original parameters.