Improved Margin of Stability of Interval Matrices.
ELGINDI M.B.M, Mohamed A. El-Gebeily, A.F.MOUSTAFA Kamal · JSME International Journal Series C · 1998
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.