Improved Margin of Stability of Interval Matrices

Abstract

This paper is concerned with the stability analysis of interval matrices.Improved sufficient conditions for the stability of interval matrices are given.These conditions are based on a theorem that determines containment regions for the eigenvalues of a certain matrix which are smaller than the regions determined by the Gerschgorin Theorem and thus giving rise to larger margins of stability.We obtain sufficient conditions for the stability of a perturbed matrix using similarity transformations.Numerical examples are given to illustrate the results of the paper.