Sufficient and necessary condition for the asymptotic stability of discrete linear interval systems

1 May 1988

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 47 (5) , 1563-1565
https://doi.org/10.1080/00207178808906116

Abstract

In this paper, a sufficient and necessary condition for the asymptotic stability of the discrete linear interval system X(k + 1) = A₁X(k) is presented; i.e. all the eigenvalues of each matrix AϵA₁, (an interval matrix) have magnitudes less than 1 if and only if all the eigenvalues of every ‘extreme matrix’ of the interval matrix A₁, have magnitudes less than 1.

Keywords

NECESSARY CONDITION
LINEAR INTERVAL
INTERVAL SYSTEMS
DISCRETE LINEAR
ASYMPTOTIC STABILITY
EXTREME
INTERVAL MATRIX
SYSTEM X

This publication has 1 reference indexed in Scilit:

Convex Analysis
Published by Walter de Gruyter GmbH ,1970