Abstract
ABSTRACT For a family of real matrices with entries polynomially depending on parameters, symbolic algorithms are proposed for verification of the Routh – Hurwitz stability under parameter variations in a given box, and for the distance to instability computation in the case of perturbations over . Both problems are reduced to the analysis of real zeros of a pair of univariate polynomials; one of these reductions is based on the discriminant computation in the Hankel determinant form. We also discuss a potential application of the suggested approach for finding an estimation for the accuracy of the distance to instability computations via numerical procedures.
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