Root-locus approach to the stability analysis of interval matrices |
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| Authors: | YAU-TARNG JUANG TE-SON KUO CHEN-FA HSU SHENG-DE WANG |
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| Affiliation: | 1. Department of Electrical Engineering-Systems , University of Southern California , Los Angeles, CA, 90089-0781, U.S.A;2. Department of Electrical and Computer Engineering , University of Texas , Austin, TX, 78712, U.S.A;3. Department of Electrical Engineering , Imperial College of Science and Technology , Exhibition Road, London SW7 2BT, U.K |
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| 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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