Matrix measure and application to stability of matrices and interval dynamical systems

Abstract

Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended. We present a relationship between the matrix measure and the real parts of the eigenvalues that make it possible to obtain stability criteria. Copyright © 2003 Hindawi Publishing Corporation. All rights reserved.