Analysis of linear time-varying systems via Hartley series

Abstract

A method for finding approximated solutions of linear time-varying systems via Hartley series is proposed. The most relevant properties of the Hartley series are presented first. The operational matrix of integration together with the product and coefficient matrices are developed. They are used to transform dynamical equations of linear, time varying systems to a set of linear algebraic equations. Practical applications relating to the operation of electric networks are given.