This paper derives conditions for the stability of discrete-time systems that can be modeled by a vector difference equation, where the variables are m x 1 vectors and the coefficients are m x m matrices. Stability of the system is related to the locations of the roots of the determinant of a real m x m matrix polynomial of nth order. In this case, sufficient conditions for the system to be stable are derived. The conditions are imposed on the infinity norm of two matrices constructed from the coefficient matrices and do not require the computation of the determinant polynomial. The conditions are the extensions of one of the Jury sufficient conditions for a scalar polynomial. An example is used to illustrate the application of the sufficient conditions


Electrical and Computer Engineering

Keywords and Phrases

Jury Sufficient Conditions; Coefficient Matrices; Difference Equations; Discrete Time Systems; Discrete-Time Matrix Polynomials; Discrete-Time Systems; Linear Systems; M Matrices; M X 1 Vectors; M X M; Polynomial Matrices; Scalar Polynomial; Stability; Sufficient Conditions; Vector Difference Equation; Vectors

International Standard Serial Number (ISSN)


Document Type

Article - Journal

Document Version

Final Version

File Type





© 1997 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 1997