Abstract

In this paper, a necessary and sufficient robust stability condition for interval matrices will be established in terms of the structured singular value μ. The robust stability of interval polynomials will be then considered by choosing a special interval matrix and then recastting this problem into the standard μ-setting. The resulting μ-problem is of rank one. Hence, the μ function has an analytical expression. It is then shown that max μ < 1 if and only if the four Kharitonov polynomials are stable.

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