On Sturm's theorem for interval polynomials

説明

The number of characteristic roots in a specified contour on an s-plane can be determined by Sturm's theorem. In this paper, we will analyze the sequential operations of coefficients based on the division algorithm when the characteristic equation is expressed as an interval polynomial. We will examine whether these operations are reduced to the extreme point results of interval coefficients, give a graphical interpretation of the discrimination method, and give some numerical examples.

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