Root-locus approach to the stability analysis of interval matrices

Abstract
A new approach, called the root-locus approach, is developed for the stability analysis of perturbed matrices. The basic idea of this approach is to ensure that the root loci of a continuously perturbed matrix remain in the open-left-half complex s-plane. Based on this approach, new techniques are presented to analyse the stability of interval matrices. Examples are given to demonstrate the merit of the proposed theorems.

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