A note on positive de niteness and stability of interval matrices

Document Type: Research Articles


Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran


It is proved that by using bounds of eigenvalues of an interval matrix, some
conditions for checking positive de niteness and stability of interval matrices
can be presented. These conditions have been proved previously with various
methods and now we provide some new proofs for them with a unity method.
Furthermore we introduce a new necessary and sucient condition for checking
stability of interval matrices.

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