ScholarLens Back to search
1998•International Journal of Systems ScienceRequires access

Further results on the stability of discrete-time matrix polynomials

Abdelaziz Hmamed, El Houssaine Tissir

Open publisher page 3 citations

Abstract

This paper concentrates on the stability of discrete-time systems. The stability of the system is deduced from the roots of the determinant of a matrix polynomial of nth order. New and less restrictive conditions than those published previously are derived to ensure that roots of the determinant of the matrix polynomial are located inside the unit circle. The conditions are given in terms of the spectral radius of matrix constructed from the coefficient matrices. Examples are given for illustration.

About this research paper

What this paper is about

This paper concentrates on the stability of discrete-time systems. The stability of the system is deduced from the roots of the determinant of a matrix polynomial of nth order. New and less restrictive conditions than those published previously are derived to ensure that roots of the determinant of the matrix polynomial are located inside the unit circle. The conditions are given in terms of the spectral radius of matrix constructed from the coefficient matrices. Examples are given for illustration.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper concentrates on the stability of discrete-time systems. The stability of the system is deduced from the roots of the determinant of a matrix polynomial of nth order. New and less restrictive conditions than those published previously are derived to ensure that roots of the determinant of the matrix polynomial are located inside the unit circle. The conditions are given in terms of the spectral radius of matrix constructed from the coefficient matrices. Examples are given for illustration.

Key concepts: Unit circle, Polynomial matrix, Mathematics, Companion matrix, Matrix (chemical analysis), Characteristic polynomial, Matrix polynomial, Stability (learning theory)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Further results on the stability of discrete-time matrix polynomials — Research Paper | ScholarLens