Multidimensional Linear Discrete System Stability Analysis Using Single Square Matrix

Abstract

This paper reviews to search out the stability of multidimensional linear time invariant discrete system; the system, which is portrayed within the forms of the individual characteristic equation. Besides an equivalent one-dimensional equation is created from the multidimensional characteristic equation, a replacement method has planned for construction single square matrix using the coefficient of equivalent one-dimensional characteristic equation and determinants were evaluated using Jury’s idea. The proposed procedure for construction of single square matrix is compared to Jury’s matrix formation that is incredibly simple and direct and consumes less arithmetic operations. This approach is delineated utilizing numerous numerical illustrations.