Analysis of linear time-varying systems and bilinear systems via Fourier series

Abstract
A method for finding an approximate solution of linear time-varying systems and bilinear systems via Fourier series is proposed. Properties of Fourier series are first briefly presented and the operational matrix for integration together with the product operational matrix are utilized to reduce the dynamical equation of a linear time-varying system (or bilinear system) to a set of simultaneous linear algebraic equations. Illustrative examples are also given.