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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., |
