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Characterization of robust root loci of polytopes of polynomials

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Abstract

This paper deals with the robust root locus problem of a polytope of real polynomials. First, a simple and efficient algorithm is presented for testing if the value set of a polytopic family of polynomials includes the origin of the complex plane. This zero-inclusion test algorithm is then applied along with a pivoting procedure to construct the smallest set of regions in the complex plane which characterizes the robust root loci of a polytope of polynomials.

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Chen, JJ., Hwang, C. Characterization of robust root loci of polytopes of polynomials. J Sci Comput 11, 155–166 (1996). https://doi.org/10.1007/BF02088821

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