Delayed time varying singular systems analysis using legendre polynomials

In this paper, we discussed the methods of approximating delayed time varying singular systems response using legendre orthogonal functions. At first properties of delayed legender polynomials are introduced such as the operational integral, delay, delayed integral and product matrixes which are required to convert differential algebraic equations to fully algebraic equations. Then our method for approximating delayed time varying singular systems by using the properties of orthogonal polynomials, is explained. Finally numerical examples are given to show the validity and accuracy of this proposal method.