Abstract
It is proved that the maximal eigenvalue of a class of (n*n)-dimensional real symmetric interval matrices, say A, coincides with the maximal eigenvalue of a single vertex matrix whose entries are the right endpoint of its intervals. The elements of the interval matrix A are intervals whose right endpoint is not smaller than the absolute value of the left endpoint. As a corollary, a necessary and sufficient condition for A to be Hurwitz-namely, that the above-mentioned vertex matrix is Hurwitz-is obtained. Furthermore, the Hurwitz stability of A implies the Hurwitz stability of the general interval matrix whose entries are allowed to vary in the intervals of A.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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