Procedures for the aperiodic stability analysis in multi dimensional linear discrete system

In this paper, a new algebraic test proposed to check the aperiodic stability of a multi-dimensional linear discrete system. These systems are represented in the form of the characteristic equation. Initially, these multi-dimensional characteristic equations are transformed into the equivalent one-dimensional characteristic equation. Further, by applying the fuller's technique routh table is formed by using the coefficients of the one-dimensional characteristic equation. Finally to analyze the aperiodic stability by check the sign changes in the first column of the routh table. Examples were given to illustrate the proposed method.