Analysis of singular systems via Taylor series using a recursive algorithm

Abstract

The paper proposes a new recursive approach for the analysis of singular system using Taylor series. Firstly, theoretical foundation of the recursive algorithm using both first and second orders Taylor series has been established in a lucid manner. Numerical examples have been treated along with relevant tables and curves in support of effectiveness of the method. Further, mean integral square error (MISE) has been estimated for both first and second order Taylor series approaches and found to be within tolerable limits. Thus, the method proves to be attractive and efficient as well.