Modeling of a time-varying system using recursive convolution

Abstract

This paper describes a method to determine the dynamic behavior of a multiple input, linear, time-invariant or time-varying system. The method is based on the "recursive convolution" with the forcing terms modeled by nth order polynomials of time. Exact solutions are obtained if the system is linear, time-invariant and the forcing terms are polynomials of time. Several examples, including a typical step-up switching power supply, are described.<>